**Exhibit  32.1**

**CERTIFICATION  OF CHIEF EXECUTIVE OFFICER AND CHIEF FINANCIAL OFFICER****PURSUANT TO  18 U.S.C. SECTION 1350,  AS ADOPTED PURSUANT TO****SECTION 906  OF THE SARBANES-OXLEY ACT OF 2002**

I, Bruce L. Claflin, certify,  pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the  Sarbanes-Oxley Act of 2002, that the Annual Report of 3Com Corporation on Form 10-K  for the fiscal year ended May 30, 2003 fully complies with the requirements  of Section 13(a) or 15(d) of the Securities Exchange Act of 1934 and that information  contained in such Annual Report on Form 10-K fairly presents in all material  respects the financial condition and results of operations of 3Com Corporation.

| Date:   | August 1,      2003 | By:   | /s/ BRUCE      L. CLAFLIN                                                                    |
|-------------------|---------------------|-----------------|----------------------------------------------------------------------------------------------|
|              |                     |            |                                                                                              |
|              |                |            | Name:        Bruce L. ClaflinTitle:          President and Chief Executive Officer |

  I, Mark Slaven, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant  to Section 906 of the Sarbanes-Oxley Act of 2002, that the Annual Report of  3Com Corporation on Form 10-K for the fiscal year ended May 30, 2003 fully  complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange  Act of 1934 and that information contained in such Annual Report on Form 10-K  fairly presents in all material respects the financial condition and results  of operations of 3Com Corporation

| Date:   | August 1,      2003 | By:   | /s/ MARK      SLAVEN                                                                                                                                                                                                                                                                                                                                                                                                                        |
|-------------------|---------------------|-----------------|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|              |                     |            |                                                                                                                                                                                                                                                                                                                                                                                                                                             |
|              |                |            | Name:        Mark SlavenTitle:   Executive        Vice President, Finance, and                    Chief        Financial Officer 
A signed original of this  written statement required by Section 906 has been provided to 3Com Corporation  and will be retained by 3Com Corporation and furnished to the Securities and  Exchange Commission or its staff upon request. |