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                                                                    EXHIBIT 99.2
 
NOTICE OF GUARANTEED DELIVERY FOR TENDER OF ANY AND ALL OF THE OUTSTANDING
9.375% CAPITAL SECURITIES (LIQUIDATION AMOUNT $1,000 PER CAPITAL SECURITY) OF
TRIANGLE CAPITAL TRUST FULLY AND UNCONDITIONALLY GUARANTEED BY TRIANGLE BANCORP,
INC.
 
     This Notice of Guaranteed Delivery, or one substantially equivalent to this
form, must be used to accept the Exchange Offer (as defined below) if (i)
certificates for the Issuer Trust's (as defined below) 9.375% Capital Securities
(the "Old Capital Securities") are not immediately available, (ii) Old Capital
Securities, the Letter of Transmittal and all other required documents cannot be
delivered to Bankers Trust Company (the "Exchange Agent") on or prior to the
Expiration Date (as defined in the Prospectus referred to below) or (iii) the
procedures for delivery by book-entry transfer cannot be completed on a timely
basis. This Notice of Guaranteed Delivery may be delivered by hand, overnight
courier or mail, or transmitted by facsimile transmission, to the Exchange Agent
on or prior to the Expiration Date. See "The Exchange Offer -- Procedures for
Tendering Old Capital Securities" in the Prospectus. In addition, in order to
utilize the guaranteed delivery procedure to tender Old Capital Securities
pursuant to the Exchange Offer, a completed, signed and dated Letter of
Transmittal relating to the Old Capital Securities (or facsimile thereof) must
also be received by the Exchange Agent prior to 5:00 p.m., New York City time,
on the Expiration Date.
 
     Capitalized terms used but not defined herein have the meanings given them
in the Prospectus.
 
                 THE EXCHANGE AGENT FOR THE EXCHANGE OFFER IS:
                             BANKERS TRUST COMPANY
 

                                                          
           By Mail:                        By Hand:                   By Overnight Mail:
 BT Services Tennessee, Inc.        Bankers Trust Company        BT Services Tennessee, Inc.
  Corporate Trust and Agency      Corporate Trust and Agency      Corporate Trust and Agency
            Group                           Group                           Group
     Reorganization Unit         Receipt and Delivery Window         Reorganization Unit
       P.O. Box 292737            123 Washington Street, 1st       648 Grassmere Park Road
   Nashville, TN 37229-2737                 Floor                    Nashville, TN 37211
                                      New York, NY 10006

 
                             For Information Call:
                                 (800) 735-7777
                            Confirm: (615) 835-3572
                           Facsimile: (615) 835-3701
 
     DELIVERY OF THIS NOTICE OF GUARANTEED DELIVERY TO AN ADDRESS OTHER THAN AS
SET FORTH ABOVE OR TRANSMISSION OF THIS NOTICE OF GUARANTEED DELIVERY VIA
FACSIMILE TO A NUMBER OTHER THAN AS SET FORTH ABOVE WILL NOT CONSTITUTE A VALID
DELIVERY.
 
     THIS NOTICE OF GUARANTEED DELIVERY IS NOT TO BE USED TO GUARANTEE
SIGNATURES. IF A SIGNATURE ON A LETTER OF TRANSMITTAL IS REQUIRED TO BE
GUARANTEED BY AN "ELIGIBLE INSTITUTION" UNDER THE INSTRUCTIONS THERETO, SUCH
SIGNATURE GUARANTEE MUST APPEAR IN THE APPLICABLE SPACE PROVIDED IN THE
SIGNATURE BOX ON THE LETTER OF TRANSMITTAL.
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LADIES AND GENTLEMEN:
 
     The undersigned hereby tenders to Triangle Capital Trust, a Delaware
business trust (the "Issuer Trust"), upon the terms and subject to the
conditions set forth in the Prospectus dated             , 1997 (as the same may
be amended or supplemented from time to time, the "Prospectus"), and the related
Letter of Transmittal (which together constitute the "Exchange Offer"), receipt
of which is hereby acknowledged, the aggregate liquidation amount of Old Capital
Securities set forth below pursuant to the guaranteed delivery procedures set
forth in the Prospectus under the caption "The Exchange Offer -- Procedures for
Tendering Old Capital Securities."
 

                                                              
  Aggregate Liquidation                                          All authority herein conferred or agreed to be conferred
  Amount Tendered: $ _____________________________________       in this Notice of Guaranteed Delivery shall survive the
  Name(s) of                                                     death, incapacity or dissolution of the undersigned and
  Registered                                                     any obligation of the undersigned hereunder shall be
  Holder(s): _____________________________________________       binding upon the heirs, executors, administrators,
  ________________________________________________________       personal representatives, trustees in bankruptcy, legal
  Certificate No(s)(if available): _______________________       representatives, successors and assigns of the
  ________________________________________________________       undersigned.

  Total Liquidation Amount                                       PLEASE SIGN HERE:
  represented by Old Capital                                     --------------------------------------------------------
  Securities Certificate(s): $ ___________________________       --------------------------------------------------------
  If Old Capital Securities will be tendered by book-entry       (Signature(s) of Owner(s)
  transfer, provide the following information:                   or Authorized Signatory)
  DTC Account Number: ____________________________________       __________________________________________________, 1997
  Date: ___________________________________________ , 1997       __________________________________________________, 1997
                                                                 Area Code and
                                                                 telephone number: ______________________________________

 
   Must be signed by the holder(s) of the Old Capital Securities exactly as
 their name(s) appear(s) on certificate(s) for the Old Capital Securities or on
 a security position listing, or by person(s) authorized to become registered
 holder(s) by endorsements and documents transmitted with this Notice of
 Guaranteed Delivery. If signature is by an attorney-in-fact, executor,
 administrator, trustee, guardian, officer of a corporation or other person
 acting in a fiduciary or representative capacity, please set forth the
 signer's full title. Please print name(s) and address(es)
 
 Names:
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 Capacity:
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 Address:
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              THE GUARANTEE ON THE REVERSE SIDE MUST BE COMPLETED.
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               GUARANTEE (NOT TO BE USED FOR SIGNATURE GUARANTEE)
 
      The undersigned, a firm or other entity identified in Rule 17Ad-15 under
 the Securities Exchange Act of 1934, as amended, as an "eligible guarantor
 institution," including (as such terms are defined therein): (i) a bank; (ii)
 a broker, dealer, municipal securities broker, municipal securities dealer,
 government securities broker or government securities dealer; (iii) a credit
 union; (iv) a national securities exchange, registered securities association
 or clearing agency; or (v) a savings association that is a participant in a
 Securities Transfer Association recognized program (each of the foregoing
 being referred to as an "Eligible Institution"), hereby guarantees to deliver
 to the Exchange Agent, at one of its addresses set forth above, either the Old
 Capital Securities tendered hereby in proper form for transfer, or
 confirmation of the book-entry transfer of such Old Capital Securities to the
 Exchange Agent's account at The Depository Trust Company ("DTC"), pursuant to
 the procedures for book-entry transfer set forth in the Prospectus, in either
 case together with one or more properly completed and duly executed Letter(s)
 of Transmittal (or facsimile thereof) and any other required documents within
 five business days after the date of execution of this Notice of Guaranteed
 Delivery.
 
      The undersigned acknowledges that it must deliver the Letter(s) of
 Transmittal (or facsimile thereof) and the Old Capital Securities tendered
 hereby to the Exchange Agent within the time period set forth above and that
 failure to do so could result in a financial loss to the undersigned.
 

                                                              

  --------------------------------------------------------       --------------------------------------------------------
                        Name of Firm                                               Authorized Signature

  --------------------------------------------------------       Name: __________________________________________________
                          Address                                                 (Please Type or Print)

  --------------------------------------------------------       Title: _________________________________________________
                         (Zip code)                              
                                                                 Date: ____________________________________________, 1997
  --------------------------------------------------------
               Area code and telephone number

 
     NOTE: DO NOT SEND CERTIFICATES FOR OLD CAPITAL SECURITIES WITH THIS NOTICE
OF GUARANTEED DELIVERY. ACTUAL SURRENDER OF OLD CAPITAL SECURITIES MUST BE MADE
PURSUANT TO, AND BE ACCOMPANIED BY, A PROPERLY COMPLETED AND DULY EXECUTED
LETTER OF TRANSMITTAL AND ANY OTHER REQUIRED DOCUMENTS.