Smoke-Free Environment Act of 1993 - Amends the Public Health Service Act to add a new title on smoke free environments. Requires the responsible entity for each public facility to adopt, implement, and post a policy prohibiting smoking in the facility and on facility property in the immediate vicinity of the facility's entrance. Allows designated smoking areas if: (1) the area is ventilated to exhaust directly to the outside; and (2) nonsmoking individuals do not have to enter the area for any purpose. Allows enforcement actions by any aggrieved person, any State or local government agency, or the Administrator of the Environmental Protection Agency. Provides for civil monetary penalties.