A bill to amend title II of the Social Security Act to repeal the Government pension offset and windfall elimination provisions.

Social Security Fairness Act of 2005 - Amends title II (Old Age, Survivors and Disability Insurance) (OASDI) of the Social Security Act to repeal: (1) Government pension offset requirements applicable to husband's and wife's insurance benefits, widow's and widower's insurance benefits, and mother's and father's insurance benefits with respect to OASDI payments; and (2) windfall elimination requirements with respect to computation of an individual's primary insurance amount.