An Act to Reduce Fires Caused by Cigarettes - Directs the Secretary of Health and Human Services to issue by rule a fire safety standard for cigarettes. Prohibits stockpiling of cigarettes between the issuing and effective dates of the standard. Provides for judicial review of the rule. Prohibits the manufacturing or importing of a cigarette unless the cigarette is in compliance with a standard issued under provisions of this Act. Declares violation of the prohibition to be a violation of provisions of the Federal Food, Drug, and Cosmetic Act. States that this Act does not preempt any law of a State which prescribes a more stringent fire safety standard for cigarettes. Prohibits, in any civil action for damages, admitting compliance with the standard as a defense.