Equal Opportunity Act of 1995

Equal Opportunity Act of 1995 - Prohibits discrimination or preferences in Federal employment and contracting on the basis of race, color, national origin, or sex, or entering into a consent decree requiring, authorizing, or permitting any such discrimination or preference.

Prohibits construing this Act to prohibit or limit: (1) employment recruiting or encouraging contract bidding or requiring or encouraging Federal contractors to so recruit or encourage, if the recruiting or encouraging does not involve a numerical objective or otherwise granting a preference; (2) any act designed to benefit historically Black colleges or universities; (3) any action under a Federal law or treaty relating to the Indian tribes; or (4) classifications based on sex if sex is a bona fide occupational qualification reasonably necessary to the normal operation of the Government, contractor, or subcontractor, the classification is designed to protect privacy, a U.S. national security interest is involved, or the classification is applied regarding an armed forces member on active duty in a theatre of combat operations.

Allows as remedies only injunctive or equitable relief (including back pay), attorney's fees, and costs.