Safety Enhancements for Communities Using Reasonable and Effective Firearm Storage Act or the SECURE Firearm Storage Act This bill amends the federal criminal code to require that all licensed importers, licensed manufacturers, or licensed dealers of firearms shall keep and store all firearms in the business inventory of the licensee at the premises covered by the license. When the premises are not open for business, the licensee shall secure all firearms by complying with prescribed security measures, including trigger guards and safes. Further, when such premises are not open for business, the licensee shall store certain paper records in a secure location. The Department of Justice shall promulgate regulations prescribing additional security requirements as deemed necessary. The bill includes a set of civil penalties, including fines and potential license suspension or revocation, for noncompliance with the foregoing security requirements. An application for a firearms license must describe how the applicant plans to comply with these security requirements.