EXHIBIT 24.2

                       LYONDELL CHEMICAL WORLDWIDE, INC.

                               POWER OF ATTORNEY

     WHEREAS, LYONDELL CHEMICAL WORLDWIDE, INC., a Delaware corporation (the
"Company"), a direct wholly owned subsidiary of Lyondell Chemical Company
("Lyondell"), intends to file with the Securities and Exchange Commission (the
"Commission") under the Securities Act of 1933, as amended (the "Act"), a
Registration Statement on Form S-4, including a prospectus, with such amendment
or amendments thereto, whether pre-effective or post-effective, in each case as
may be necessary or appropriate, together with any and all exhibits and other
documents having relation to said Registration Statement (collectively, the
"Registration Statement"), in connection with Lyondell's proposal to offer to
exchange up to $900,000,000 aggregate principal amount of 9 5/8% senior secured
notes, series A, $1,000,000,000 aggregate principal amount of 9 7/8% senior
secured notes, series B, and $500,000,000 aggregate principal amount of 10 7/8%
senior subordinated notes, registered under the Act and guaranteed by the
Company, for like aggregate principal amounts of outstanding senior secured
notes, series A, senior secured notes, series B, and senior subordinated notes
guaranteed by the Company.

     NOW, THEREFORE, the undersigned, in his or her capacity as a director or
officer, or both, as the case may be, of the Company, does hereby appoint DAN F.
SMITH, JEFFREY R. PENDERGRAFT and EDWARD W. RICH, and each of them severally,
his or her true and lawful attorneys or attorney with power to act with or
without the others and with full power of substitution and resubstitution, to
execute in his or her name, place and stead, in his or her capacity as a
director or officer or both, as the case may be, of the Company, the
Registration Statement and all instruments necessary or incidental in connection
therewith, with such amendment or amendments thereto in each case as may be
necessary or appropriate, together with any and all exhibits and other documents
relating thereto as said attorneys or any of them shall deem necessary or
incidental in connection therewith, and to file the same or cause the same to be
filed with the Commission.  Each of said attorneys shall have full power and
authority to do and perform in the name and on behalf of the undersigned, in any
and all capacities, every act whatsoever necessary or desirable to be done to
the premises, as fully and to all intents and purposes as the undersigned might
or could do in person, the undersigned hereby ratifying and approving the acts
of said attorneys and each of them.

     IN WITNESS WHEREOF, the undersigned has executed this instrument on this
29th day of June, 1999.


                                            /s/ DAN F. SMITH
                                            -----------------------------
                                            DAN F. SMITH


                       LYONDELL CHEMICAL WORLDWIDE, INC.

                               POWER OF ATTORNEY

     WHEREAS, LYONDELL CHEMICAL WORLDWIDE, INC., a Delaware corporation (the
"Company"), a direct wholly owned subsidiary of Lyondell Chemical Company
("Lyondell"), intends to file with the Securities and Exchange Commission (the
"Commission") under the Securities Act of 1933, as amended (the "Act"), a
Registration Statement on Form S-4, including a prospectus, with such amendment
or amendments thereto, whether pre-effective or post-effective, in each case as
may be necessary or appropriate, together with any and all exhibits and other
documents having relation to said Registration Statement (collectively, the
"Registration Statement"), in connection with Lyondell's proposal to offer to
exchange up to $900,000,000 aggregate principal amount of 9 5/8% senior secured
notes, series A, $1,000,000,000 aggregate principal amount of 9 7/8% senior
secured notes, series B, and $500,000,000 aggregate principal amount of 10 7/8%
senior subordinated notes, registered under the Act and guaranteed by the
Company, for like aggregate principal amounts of outstanding senior secured
notes, series A, senior secured notes, series B, and senior subordinated notes
guaranteed by the Company.

     NOW, THEREFORE, the undersigned, in his or her capacity as a director or
officer, or both, as the case may be, of the Company, does hereby appoint DAN F.
SMITH, JEFFREY R. PENDERGRAFT and EDWARD W. RICH, and each of them severally,
his or her true and lawful attorneys or attorney with power to act with or
without the others and with full power of substitution and resubstitution, to
execute in his or her name, place and stead, in his or her capacity as a
director or officer or both, as the case may be, of the Company, the
Registration Statement and all instruments necessary or incidental in connection
therewith, with such amendment or amendments thereto in each case as may be
necessary or appropriate, together with any and all exhibits and other documents
relating thereto as said attorneys or any of them shall deem necessary or
incidental in connection therewith, and to file the same or cause the same to be
filed with the Commission.  Each of said attorneys shall have full power and
authority to do and perform in the name and on behalf of the undersigned, in any
and all capacities, every act whatsoever necessary or desirable to be done to
the premises, as fully and to all intents and purposes as the undersigned might
or could do in person, the undersigned hereby ratifying and approving the acts
of said attorneys and each of them.

     IN WITNESS WHEREOF, the undersigned has executed this instrument on this
29th day of June, 1999.


                                            /s/ ROBERT J. MILLSTONE
                                            -----------------------------
                                            ROBERT J. MILLSTONE



                       LYONDELL CHEMICAL WORLDWIDE, INC.

                               POWER OF ATTORNEY

     WHEREAS, LYONDELL CHEMICAL WORLDWIDE, INC., a Delaware corporation (the
"Company"), a direct wholly owned subsidiary of Lyondell Chemical Company
("Lyondell"), intends to file with the Securities and Exchange Commission (the
"Commission") under the Securities Act of 1933, as amended (the "Act"), a
Registration Statement on Form S-4, including a prospectus, with such amendment
or amendments thereto, whether pre-effective or post-effective, in each case as
may be necessary or appropriate, together with any and all exhibits and other
documents having relation to said Registration Statement (collectively, the
"Registration Statement"), in connection with Lyondell's proposal to offer to
exchange up to $900,000,000 aggregate principal amount of 9 5/8% senior secured
notes, series A, $1,000,000,000 aggregate principal amount of 9 7/8% senior
secured notes, series B, and $500,000,000 aggregate principal amount of 10 7/8%
senior subordinated notes, registered under the Act and guaranteed by the
Company, for like aggregate principal amounts of outstanding senior secured
notes, series A, senior secured notes, series B, and senior subordinated notes
guaranteed by the Company.

     NOW, THEREFORE, the undersigned, in his or her capacity as a director or
officer, or both, as the case may be, of the Company, does hereby appoint DAN F.
SMITH, JEFFREY R. PENDERGRAFT and EDWARD W. RICH, and each of them severally,
his or her true and lawful attorneys or attorney with power to act with or
without the others and with full power of substitution and resubstitution, to
execute in his or her name, place and stead, in his or her capacity as a
director or officer or both, as the case may be, of the Company, the
Registration Statement and all instruments necessary or incidental in connection
therewith, with such amendment or amendments thereto in each case as may be
necessary or appropriate, together with any and all exhibits and other documents
relating thereto as said attorneys or any of them shall deem necessary or
incidental in connection therewith, and to file the same or cause the same to be
filed with the Commission.  Each of said attorneys shall have full power and
authority to do and perform in the name and on behalf of the undersigned, in any
and all capacities, every act whatsoever necessary or desirable to be done to
the premises, as fully and to all intents and purposes as the undersigned might
or could do in person, the undersigned hereby ratifying and approving the acts
of said attorneys and each of them.

     IN WITNESS WHEREOF, the undersigned has executed this instrument on this
29th day of June, 1999.


                                            /s/ EDWARD W. RICH
                                            -----------------------------
                                            EDWARD W. RICH


                       LYONDELL CHEMICAL WORLDWIDE, INC.

                               POWER OF ATTORNEY

     WHEREAS, LYONDELL CHEMICAL WORLDWIDE, INC., a Delaware corporation (the
"Company"), a direct wholly owned subsidiary of Lyondell Chemical Company
("Lyondell"), intends to file with the Securities and Exchange Commission (the
"Commission") under the Securities Act of 1933, as amended (the "Act"), a
Registration Statement on Form S-4, including a prospectus, with such amendment
or amendments thereto, whether pre-effective or post-effective, in each case as
may be necessary or appropriate, together with any and all exhibits and other
documents having relation to said Registration Statement (collectively, the
"Registration Statement"), in connection with Lyondell's proposal to offer to
exchange up to $900,000,000 aggregate principal amount of 9 5/8% senior secured
notes, series A, $1,000,000,000 aggregate principal amount of 9 7/8% senior
secured notes, series B, and $500,000,000 aggregate principal amount of 10 7/8%
senior subordinated notes, registered under the Act and guaranteed by the
Company, for like aggregate principal amounts of outstanding senior secured
notes, series A, senior secured notes, series B, and senior subordinated notes
guaranteed by the Company.

     NOW, THEREFORE, the undersigned, in his or her capacity as a director or
officer, or both, as the case may be, of the Company, does hereby appoint DAN F.
SMITH, JEFFREY R. PENDERGRAFT and EDWARD W. RICH, and each of them severally,
his or her true and lawful attorneys or attorney with power to act with or
without the others and with full power of substitution and resubstitution, to
execute in his or her name, place and stead, in his or her capacity as a
director or officer or both, as the case may be, of the Company, the
Registration Statement and all instruments necessary or incidental in connection
therewith, with such amendment or amendments thereto in each case as may be
necessary or appropriate, together with any and all exhibits and other documents
relating thereto as said attorneys or any of them shall deem necessary or
incidental in connection therewith, and to file the same or cause the same to be
filed with the Commission.  Each of said attorneys shall have full power and
authority to do and perform in the name and on behalf of the undersigned, in any
and all capacities, every act whatsoever necessary or desirable to be done to
the premises, as fully and to all intents and purposes as the undersigned might
or could do in person, the undersigned hereby ratifying and approving the acts
of said attorneys and each of them.

     IN WITNESS WHEREOF, the undersigned has executed this instrument on this
29th day of June, 1999.


                                            /s/ KELVIN R. COLLARD
                                            -----------------------------
                                            KELVIN R. COLLARD


                       LYONDELL CHEMICAL WORLDWIDE, INC.

                               POWER OF ATTORNEY

     WHEREAS, LYONDELL CHEMICAL WORLDWIDE, INC., a Delaware corporation (the
"Company"), a direct wholly owned subsidiary of Lyondell Chemical Company
("Lyondell"), intends to file with the Securities and Exchange Commission (the
"Commission") under the Securities Act of 1933, as amended (the "Act"), a
Registration Statement on Form S-4, including a prospectus, with such amendment
or amendments thereto, whether pre-effective or post-effective, in each case as
may be necessary or appropriate, together with any and all exhibits and other
documents having relation to said Registration Statement (collectively, the
"Registration Statement"), in connection with Lyondell's proposal to offer to
exchange up to $900,000,000 aggregate principal amount of 9 5/8% senior secured
notes, series A, $1,000,000,000 aggregate principal amount of 9 7/8% senior
secured notes, series B, and $500,000,000 aggregate principal amount of 10 7/8%
senior subordinated notes, registered under the Act and guaranteed by the
Company, for like aggregate principal amounts of outstanding senior secured
notes, series A, senior secured notes, series B, and senior subordinated notes
guaranteed by the Company.

     NOW, THEREFORE, the undersigned, in his or her capacity as a director or
officer, or both, as the case may be, of the Company, does hereby appoint DAN F.
SMITH, JEFFREY R. PENDERGRAFT and EDWARD W. RICH, and each of them severally,
his or her true and lawful attorneys or attorney with power to act with or
without the others and with full power of substitution and resubstitution, to
execute in his or her name, place and stead, in his or her capacity as a
director or officer or both, as the case may be, of the Company, the
Registration Statement and all instruments necessary or incidental in connection
therewith, with such amendment or amendments thereto in each case as may be
necessary or appropriate, together with any and all exhibits and other documents
relating thereto as said attorneys or any of them shall deem necessary or
incidental in connection therewith, and to file the same or cause the same to be
filed with the Commission.  Each of said attorneys shall have full power and
authority to do and perform in the name and on behalf of the undersigned, in any
and all capacities, every act whatsoever necessary or desirable to be done to
the premises, as fully and to all intents and purposes as the undersigned might
or could do in person, the undersigned hereby ratifying and approving the acts
of said attorneys and each of them.

     IN WITNESS WHEREOF, the undersigned has executed this instrument on this
29th day of June, 1999.


                                            /s/ JOSEPH M. PUTZ
                                            -----------------------------
                                            JOSEPH M. PUTZ