Certification Pursuant to
                 270.30a-2 of the Investment Company Act of 1940


I, Paula R. Meyer, certify that:

1.   I have reviewed this report on Form N-SAR of AXP New Dimensions Fund, Inc.;

2.   Based on my knowledge, this report does not contain any untrue statement of
     a material fact or omit to state a material fact necessary to make the
     statements made, in light of the circumstances under which such statements
     were made, not misleading with respect to the period covered by this
     report;

3.   Based on my knowledge, the financial information included in this report,
     and the financial statements on which the financial information is based,
     fairly present in all material respects the financial condition, results of
     operations, changes in net assets, and cash flows (if the financial
     statements are required to include a statement of cash flows) of the
     registrant as of, and for, the periods presented in this report.


Date:    September 27, 2002

     /s/ Paula R. Meyer
     -------------------
Name:    Paula R. Meyer
Title:   President and Chief Executive Officer









                            Certification Pursuant to
                 270.30a-2 of the Investment Company Act of 1940




I, Jeffrey P. Fox, certify that:

1.   I have reviewed this report on Form N-SAR of AXP New Dimensions Fund, Inc.;

2.   Based on my knowledge, this report does not contain any untrue statement of
     a material fact or omit to state a material fact necessary to make the
     statements made, in light of the circumstances under which such statements
     were made, not misleading with respect to the period covered by this
     report;

3.   Based on my knowledge, the financial information included in this report,
     and the financial statements on which the financial information is based,
     fairly present in all material respects the financial condition, results of
     operations, changes in net assets, and cash flows (if the financial
     statements are required to include a statement of cash flows) of the
     registrant as of, and for, the periods presented in this report.



Date:    September 27, 2002


     /s/ Jeffrey P. Fox
     -------------------
Name:    Jeffrey P. Fox
Title:   Treasurer and Chief Financial Officer