Cigarette Safety Act - Directs the Consumer Product Safety Commission to promulgate, within 24 months, final performance standards for cigarettes and little cigars ensuring a minimum capacity for igniting smoldering fabric fires.

Authorizes the Commission to prohibit manufacturers from stockpiling such products to which such standards apply.

Provides for judicial review of such standards in an appropriate U.S. court of appeals.

Declares such cigarette safety standards to be subject to all remedial and penalty provisions of the Consumer Product Safety Act.

Authorizes appropriations necessary to carry out this Act for the first three fiscal years beginning after enactment.