Safe Bridge Act

Safe Bridge Act - Directs the Secretary of Transportation to: (1) inventory all bridges which are not located on any of the Federal-aid systems; (2) classify them according to serviceability, safety, and essentiality for public use; and (3) assign each bridge a priority for replacement or rehabilitation based on such classification.

Authorizes Federal participation in State projects to repair or replace such bridges.

Authorizes appropriations out of the Highway Trust Fund for bridge replacement or rehabilitation programs through fiscal year 1982.

Amends the Highway Revenue Act of 1956 to extend the transfers of specified taxes collected in the general Treasury to the Highway Trust Fund through 1984. Amends the Land and Water Conservation Fund Act of 1965 to extend the transfers of specified nonhighway gasoline taxes from such fund to the Treasury through 1984.

Postpones specified transportation related excise tax reductions under the Internal Revenue Code of 1954.