<PAGE>

                                                                   EXHIBIT (31b)

        RULE 13a-14(a)/15d-14(a) CERTIFICATION OF CHIEF FINANCIAL OFFICER

         I, Robert D. Koney, Jr., Senior Vice President, Chief Financial
Officer, of Russell Corporation, certify that:

         1.       I have reviewed this annual report on Form 10-K of Russell
Corporation;

         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 statements, and other
financial information included in this report, fairly present in all material
respects the financial condition, results of operations and cash flows of the
registrant as of, and for, the periods presented in this report;

         4.       The registrant's other certifying officer(s) and I are
responsible for establishing and maintaining disclosure controls and procedures
(as defined in Exchange Act Rules 13a-15(e) and 15d-15(e)) and internal control
over financial reporting (as defined in Exchange Act Rules 13a-15(f) and
15d-15(f)) for the registrant and have:

                  (a)      Designed such disclosure controls and procedures, or
caused such disclosure controls and procedures to be designed under our
supervision, to ensure that material information relating to the registrant,
including its consolidated subsidiaries, is made known to us by others within
those entities, particularly during the period in which this report is being
prepared;

                  (b)      Designed such internal control over financial
reporting, or caused such internal control over financial reporting to be
designed under our supervision, to provide reasonable assurance regarding the
reliability of financial reporting and the preparation of financial statements
for external purposes in accordance with generally accepted accounting
principles;

                  (c)      Evaluated the effectiveness of the registrant's
disclosure controls and procedures and presented in this report our conclusions
about the effectiveness of the disclosure controls and procedures, as of the end
of the period covered by this report based on such evaluation; and

                  (d)      Disclosed in this report any change in the
registrant's internal control over financial reporting that occurred during the
registrant's most recent fiscal quarter (the registrant's fourth fiscal quarter
in the case of an annual report) that has materially affected, or is reasonably
likely to materially affect, the registrant's internal control over financial
reporting; and

         5.       The registrant's other certifying officer(s) and I have
disclosed, based on our most recent evaluation of internal control over
financial reporting, to the registrant's auditors and the audit committee of the
registrant's board of directors (or persons performing the equivalent
functions):

                  (a)      All significant deficiencies and material weaknesses
in the design or operation of internal control over financial reporting which
are reasonably likely to adversely affect the registrant's ability to record,
process, summarize and report financial information; and

                  (b)      Any fraud, whether or not material, that involves
management or other employees who have a significant role in the registrant's
internal control over financial reporting.




Date:  March 17, 2005                                   /s/ Robert D. Koney, Jr.
                                                        ------------------------
                                                        Robert D. Koney, Jr.
                                                        Senior Vice President,
                                                        Chief Financial Officer