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                                 EXHIBIT 10.31





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                      NOTE AND WARRANT EXCHANGE AGREEMENT

         This Note and Warrant Exchange Agreement (the "Exchange Agreement") is
made between URANIUM RESOURCES, INC., a Delaware corporation (the "Company")
and LINDNER INVESTMENTS, a Massachusetts business trust, on behalf of its
series known as "Lindner Dividend Fund" and "Lindner Bulwark Fund"
(collectively, the  "Purchaser"), as of March 23, 1998.

RECITALS:

         A.      Purchaser, through its various separate investment portfolios,
owns 2,219,525 shares of Common Stock of the Company, par value $0.001 per
share.  Purchaser also owns warrants (the "Old Warrants") to acquire 1,000,000
additional shares of Common Stock of the Company at the price of $4.00 per
share of Common Stock.  The Old Warrants expire at 5:00 p.m., Dallas, Texas,
time on May 31, 1998.

         B.      Purchaser, through the two of its investment portfolios
identified above, holds the Company's 6.5% Secured Convertible Notes Due May
31, 1998, which have an aggregate principal amount owing thereunder of
$6,000,000 (the "Old Notes").  The Old Notes are convertible into shares of
Common Stock of the Company at the conversion price of $4.00 per share of
Common Stock.

         C.      The Company has requested Purchaser to extend the maturity
date of the Notes and the Purchaser has agreed to do so on the condition that
the conversion price for shares of Common Stock of the Company be reduced, the
price payable upon exercise of the Old Warrants be reduced and the expiration
date of the Old Warrants be extended, all as provided hereafter.

         Capitalized terms not defined herein shall have the meanings set forth
in the Note and Warrant Purchase Agreement, dated May 25, 1995, entered into by
and among the Company, the Purchaser and Lindner Dividend Fund, Inc., a
Missouri corporation (the "Agreement").

         1.      Exchange of Notes and Warrants. The Company has authorized and
proposes to issue and sell to the Purchaser two replacement notes (the
"Replacement Notes") in exchange for the surrender by the Purchaser of the Old
Notes.  The Replacement Notes shall be dated their date of issue, shall mature
and bear interest and shall have such other terms and conditions as are set
forth in Exhibit A attached hereto.  The Company has also authorized and
proposes to issue and sell to the Purchaser two replacement warrants (the
"Replacement Warrants") in exchange for the surrender by the Purchaser of the
Old Warrants.  The Replacement Warrants shall be dated their date of issue and
shall have such other terms and conditions as are set forth in Exhibit B
attached hereto.

         2.      Amendment of Conversion Price.  Section 3.1 of the Agreement
is hereby amended to read in its entirety as follows:

         "3.1    Conversion Privilege.  A Holder of a Note may convert the
         unpaid principal balance of the Note into Common Stock of the Company
         at any time.  To determine the number of shares issuable upon
         conversion of a Note, divide the principal amount to be converted by
         the conversion price in effect on the conversion date and round the
         result to the nearest 1/100 of a share.  The conversion price shall
         initially be $3.00 per share of Common Stock.  A Holder may convert a
         portion of a Note.  Provisions of this Agreement that apply to
         conversion of all of a Note also apply to conversion of a portion of
         it."

         3.      Reaffirmation of the Agreement.  Except as provided above and
in the Exhibits hereto, all of the terms and conditions of the Agreement and
the covenants and undertaking of the parties, are hereby reaffirmed and
confirmed.  This Exchange Agreement shall constitute a supplement to the
Agreement.





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         4.      Counterparts.  This Exchange Agreement may be executed in two
or more counterparts, each of which shall be deemed to be an original, but all
of which together shall constitute one and the same instrument.  The execution
and delivery of this Exchange Agreement shall be deemed effective upon receipt
by each party hereto of a facsimile copy of this Exchange Agreement executed by
the other party hereto.

         IN WITNESS WHEREOF, the parties have executed this Exchange Agreement.

                                           URANIUM RESOURCES, INC.


                                           By: 
                                               ------------------------------
                                           Its:
                                               ------------------------------

                                           LINDNER INVESTMENTS, on behalf of 
                                           its series LINDNER DIVIDEND FUND 
                                           and LINDNER BULWARK FUND


                                           By: 
                                               ------------------------------
                                           Its:
                                               ------------------------------

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                                                                       EXHIBIT A

                            URANIUM RESOURCES, INC.
                         6.5% SECURED CONVERTIBLE NOTE

$__,000,000.00   March __, 1998
Note No. R-_____

         FOR VALUE RECEIVED, the undersigned URANIUM RESOURCES, INC., a
Delaware corporation (the "Obligor" or "Uranium Resources"), hereby promises to
pay to ____________________ or its registered assigns (the "Purchaser") on May
31, 2000, the principal sum of ____________________________, and to pay
interest on the unpaid principal balance hereof from the date hereof at a rate
of 6.5% per annum, payable quarterly in arrears.  This Note and any interest
thereon may not be transferred only as provided in the Note and Warrant
Purchase Agreement dated May 25, 1995, between Obligor and Purchaser, as
supplemented by the Note and Warrant Exchange Agreement, dated March 23, 1998
(the "Note and Warrant Purchase Agreement").

         This Note is issued pursuant to the Note and Warrant Purchase
Agreement and this Note and the holder hereof is entitled, equally and ratably
with the holders of all other Notes outstanding under the Note and Warrant
Purchase Agreement, to all of the benefits provided for thereby, including, but
not limited to the security granted to the Purchaser therein, and the benefits
under the Guaranty executed by the Mortgaging Subsidiary in connection
therewith, and shall be bound by all of the provisions set forth therein, to
which Note Purchase and Warrant Agreement reference is hereby made for a
statement thereof.

         This Note is supported by the Guaranty of the Mortgaging Subsidiary,
which Guaranty will be secured by a lien and security interest in and upon the
Mortgaging Subsidiary's interest in the Collateral and the Texas Real Property

         Subject to and upon compliance with the provisions of the Note and
Warrant Purchase Agreement, the Holder of this Note is entitled, at its option,
at any time, to convert this Note into fully paid and non-assessable shares of
Common Stock of the Obligor at the initial Conversion Price of $3.00 per share,
subject to such adjustment or adjustments, if any, of such Conversion Price and
the Common Stock issuable upon conversion, as may be required by the Note and
Warrant Purchase Agreement, upon surrender of this Note, duly endorsed or
assigned to the Obligor or in blank, to the Obligor, with the conversion notice
attached hereto, or accompanied by a separate written notice substantially in
the form of such conversion notice, duly executed by the Holder and stating
that the Holder hereof elects to convert this Note, or if less than the entire
principal amount hereof is to be converted, the portion hereof to be converted,
all in accordance with the provisions of the Note and Warrant Purchase
Agreement.  Except as otherwise provided in the Note and Warrant Purchase
Agreement, no payment or adjustment is to be made on conversion for interest
accrued hereon or for dividends issued on securities issued on conversion.  No
fractional shares will be issued on conversion, but instead of any fractional
interest, the Obligor shall pay a cash adjustment as provided in the Note and
Warrant Purchase Agreement.





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         In the event any action is taken to collect or enforce the
indebtedness evidenced by this Note (the "Indebtedness") or any part thereof,
the Obligor and each endorser hereof agrees to pay, in addition to the
principal and interest due and payable hereon, all costs of collecting this
Note, including reasonable attorneys' fees and expenses.  These costs shall
include any expenses incurred by the Purchaser in any bankruptcy,
reorganization, or other insolvency proceeding.

         Acceptance by the Purchaser of any payment in an amount less than the
amount then due and owing shall be deemed an acceptance on account only, and
the failure to pay the entire amount then due and owing shall cause the
Purchaser and endorsers to remain in default.

         The liability of the Obligor and any endorsers hereof, shall be joint
and several, absolute and unconditional, without regard to the liability of any
other party hereunder or under any other document or instrument executed in
connection with this Note.

         No delay or omission of any holder in exercising any right or rights,
shall operate as a waiver of such right or any other rights.  Waiver on one
occasion shall not be construed as a bar to or waiver of any right or remedy on
any future occasion.

         The liability of the Obligor under this Note (and the liability of any
endorsers and/or Guarantors of this Note) shall not be discharged, diminished
or in any way impaired by: (a) the release, impairment, discharge,
substitution, exchange, modification of or failure to obtain foreclose or
realize on any guaranty or any security granted Purchaser by any party for the
Indebtedness; (b) any waiver by Purchaser or failure to enforce or exercise
rights under any of the terms, covenants or conditions of this Note or any
guaranty; (c) the granting of any renewal, indulgence, extension of time to
Obligor, or any other obligors of the Indebtedness; or (d) the addition or
release of any person or entity primarily or secondarily liable for the
Indebtedness.

         In no event shall the interest rate charged or received hereunder at
any time exceed the maximum interest rate permitted under applicable law.
Payments of interest received by Purchaser hereunder which would otherwise
cause the interest rate hereunder to exceed such maximum interest rate shall,
to the extent of such excess, be deemed to be (and deemed to have been
contracted as being) prepayments of principal and applied as such.

         Under certain circumstances, as specified in the Note and Warrant
Purchase Agreement, the principal of this Note may be declared due and payable
in the manner and with the effect provided in the Note and Warrant Purchase
Agreement.

         This Note shall be binding upon the undersigned and its successors and
assigns and shall inure to the benefit of Purchaser, its successors and
assigns.  Every person and entity at any time liable for the payment of this
Note hereby waives demand, presentment, protest, notice of protest, note of
nonpayment due and all other requirements otherwise necessary to hold them
immediately liable for payment hereunder.





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         This Note and the Note and Warrant Purchase Agreement are governed by
and shall be construed and enforced in accordance with Missouri law.

                                           URANIUM RESOURCES, INC.



                                           By:
                                                ------------------------------
                                           Its:  
                                                ------------------------------

THIS NOTE HAS BEEN ACQUIRED FOR INVESTMENT AND HAS NOT BEEN REGISTERED UNDER
THE SECURITIES ACT OF 1933, AS AMENDED (THE "1933 ACT").  THIS NOTE MAY NOT BE
PLEDGED OR OTHERWISE TRANSFERRED IN THE ABSENCE OF REGISTRATION UNDER THE 1933
ACT PROVIDED, HOWEVER, THAT THIS NOTE MAY BE PLEDGED OR OTHERWISE TRANSFERRED
PURSUANT TO AN EXEMPTION FROM REGISTRATION, INCLUDING, BUT NOT LIMITED TO,
THOSE PROVIDED IN RULE 144, 144A OR 145 OR REGULATION S UNDER THE 1933 ACT.
TRANSFER OF THIS NOTE IS ALSO SUBJECT TO THE RESTRICTIONS, TERMS AND CONDITIONS
SET FORTH IN THAT CERTAIN NOTE AND WARRANT PURCHASE AGREEMENT DATED MAY 25,
1995, AMONG URANIUM RESOURCES, INC., LINDNER INVESTMENTS AND LINDNER FUND,
INC., A COPY OF WHICH IS AVAILABLE FOR INSPECTION AT THE OFFICE OF URANIUM
RESOURCES, INC., AND WILL BE MADE AVAILABLE BY URANIUM RESOURCES, INC. UPON
WRITTEN REQUEST.

                                   ASSIGNMENT

I/we assign and transfer $_______________ principal amount of this Note No.
R-___, to ____________________________________________________________________
_________________________________________ ___________________________
                                  (Print or type name, address and zip code of
assignee) Insert social security or other identifying number of
assignee:_____________________ and irrevocably appoint
_____________________________ as my/our agent and attorney-in-fact to transfer
this Note, or the portion hereof which has been so assigned, on the books of
the Company.  The agent may substitute another to act for him or her.

Dated:                          Signed:                                     
       ---------------                 ------------------------------------
Signature Guaranteed By:               [Name of Noteholder--Sign exactly as name
                                       appears on the first page of this Note]

                                       By:
- ------------------------------            ------------------------------
                                       Its: 
                                           -----------------------------





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                              NOTICE OF CONVERSION

To Uranium Resources, Inc.:

         The undersigned owner of this Secured Convertible Note hereby
irrevocably exercises the option to convert $_____________ principal amount of
this Secured Convertible Note, into shares of Common Stock of Uranium
Resources, Inc., in accordance with its terms, and directs that the shares of
Common Stock issuable and deliverable upon conversion be issued and delivered
to the undersigned unless a different name has been indicated below.  If shares
of Common Stock are to be registered in the name of a person other than the
undersigned, the undersigned will pay any transfer taxes payable with respect
thereto.


Dated: 
       -----------------------         Signed:                           
                                              ----------------------------------
                                              [Name of Noteholder]

                                              By: 
                                                  ------------------------------
                                              Its:
                                                  ------------------------------

Fill in for registration of shares of Common Stock only if otherwise than in
name and address of the above named Noteholder:                      


- ------------------------------    ------------------------------
(Name)                            (Address)



- ------------------------------    ------------------------------
(City and State)                  (Tax Identification Number)
(Please print name and address including zip code number)





                                      A-4
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                                                                       EXHIBIT B

          THIS WARRANT AND THE SECURITIES REPRESENTED HEREBY HAVE NOT
         BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED,
          OR THE SECURITIES OR BLUE SKY LAWS OF ANY STATE AND MAY NOT
            BE TRANSFERRED IN VIOLATION OF SUCH ACT AND LAWS OR THE
                        RULES AND REGULATIONS THEREUNDER

                   VOID AFTER 5:00 P.M., DALLAS, TEXAS TIME,
                                ON MAY 31, 2000

                                        URANIUM RESOURCES, INC.
URIW- _________

                        WARRANT TO PURCHASE COMMON STOCK

         This certifies that, FOR VALUE RECEIVED, ___________________________,
or its registered assigns ("Holder"), is entitled, subject to the terms of this
Warrant, to purchase from URANIUM RESOURCES, INC., a Delaware corporation (the
"Company"), at any time after the date of issuance hereof and prior to 5:00
p.m., Dallas, Texas time, on May 31, 2000 (the "Warrant Expiration Date"), up
to _________ fully paid and nonassessable shares of the Common Stock, $0.001
par value, of the Company (the "Common Stock"), at an initial purchase price of
$3.00 per share, payable in lawful money of the United States.

         This Warrant may be exercised in whole or in part by presentation
hereof with the Notice of Exercise contained herein duly executed and with
simultaneous payment of the applicable aggregate Purchase Price (subject to
adjustment) at the office of the Company in Dallas, Texas.  Payment of such
Purchase Price shall be made, at the option of the Holder hereof, by certified
check or bank draft payable in United States currency.

         This Warrant is one of a duly authorized issue of common stock
purchase warrants issued under and in accordance with that certain Note and
Warrant Purchase Agreement), dated as of  May 25, 1995, by and among Uranium
Resources, Inc., Lindner Investments (on behalf of its Lindner Bulwark Fund
series), and Lindner Dividend Fund, Inc., as supplemented by that certain Note
and Warrant Exchange Agreement, dated March 23, 1998 (the "Purchase
Agreement"),  and is subject to the terms and provisions contained in the
Purchase Agreement, to all of which the Holder hereof, by acceptance hereof,
hereby consents.  A copy of the Purchase Agreement may be obtained for
inspection upon written request to the Company by a Holder of this Warrant.

         This Warrant does not entitle any Holder to any rights of a
shareholder of the Company.  The number of shares of Common Stock to be
received upon the exercise of this Warrant and the price to be paid for a share
of Common Stock may be adjusted from time to time as set forth in the Purchase
Agreement.  The shares of Common Stock deliverable upon such exercise, as
adjusted from time to time, are hereinafter sometimes referred to as "Warrant
Stock" and the exercise price of a share of Common Stock in effect at any time
and as adjusted from time to time is hereinafter sometimes referred to as the
"Purchase Price".

         As soon as practicable after any exercise of this Warrant and payment
of the sum payable upon such exercise, and in any event within 10 days
thereafter, the Company, at its expense (including the payment by it of any
applicable taxes), will cause to be issued in the name of and delivered to the
holder hereof, or in the name of such other person as such holder may direct, a
certificate or certificates for the number of fully paid and nonassessable
shares of Warrant Stock, or other securities or property to which such holder
shall be entitled upon such exercise, plus, in lieu of any fractional share of
Warrant Stock to which such holder would otherwise be entitled, cash equal to
such fraction multiplied by the Market Price (as defined in the Purchase
Agreement).  Issuance and delivery of Warrant Stock deliverable on the due
exercise of this Warrant may be postponed by the Company and its transfer agent
during any period, not





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exceeding thirty (30) days, for which the transfer books of the Company for the
Common Stock are closed between (1) the record date set by the Board of
Directors for the determination of shareholders entitled to vote at or to
receive notice of any shareholders meeting, or entitled to receive payment of
any dividends or to any allotment of rights or to exercise rights in respect of
any change, conversion or exchange of capital stock, and (2) the date of such
meeting of shareholders, the date for the payment of such dividends, the date
for such allotment of rights, or the date when any such change or conversion or
exchange of capital stock shall go into effect, as the case may be.

         Upon surrender for exchange of this Warrant (in negotiable form, if
not surrendered by the holder named on the face hereof) to the Company, the
Company, at its expense, will issue and deliver new Warrants of like tenor,
calling in the aggregate for the same amount of Warrant Stock, in the
denomination or denominations requested, to or on the order of such holder and
in the name of such holder as such holder may direct.  Until this Warrant is
transferred on the books of the Company, the Company may treat the registered
holder of this Warrant as absolute owner for all purposes without being
affected by any notice to the contrary.  Transfer of this Warrant is restricted
as provided in the Purchase Agreement.

         IN WITNESS WHEREOF, the Company has caused this Warrant to be signed
in its name by the manual signatures of its Chairman or President or one of its
Vice Presidents, thereunto duly authorized, and its corporate seal to be
impressed or imprinted hereon, attested by the manual signature of its
Secretary or an Assistant Secretary.


Dated:                , 1998               URANIUM RESOURCES, INC.
       --------------- 
                                               By: 
                                                  ---------------------------
ATTEST:                                        Its: 
                                                    -------------------------
By: 
   ------------------------------
       Secretary

[SEAL]





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                                   ASSIGNMENT

         FOR VALUE RECEIVED, the undersigned hereby sell, assigns and transfers
the within Warrant, and irrevocably appoints __________________ as agent and
attorney-in-fact to transfer such Warrant on the books of the Company, with
full power of substitution in the premises, to the following assignee(s):


- ------------------------------          ------------------------------
Name                                           Address



- ---------------
SSN or EIN                                                             
                                           ----------------------------
                                           [Name of Warrant holder]



                                           By: 
                                               ------------------------------
                                           Its: 
                                               ------------------------------




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                               NOTICE OF EXERCISE

         The undersigned hereby exercises the right to purchase ________ shares
of Common Stock covered by this Warrant according to the conditions thereof and
herewith makes payment of the Purchase Price of such shares in full.


Date: 
      -------------------                  ---------------------------------
                                           [Name of Warrant holder]



                                           By: 
                                               -----------------------------
                                           Its: 
                                               -----------------------------


The Company is requested to issue certificates for the Warrant Shares acquired
upon exercise of this Warrant as follows:


- ------------------------------             ------------------------------
Name                                       Address



- ---------------
SSN or EIN





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