The Mass Violence Prevention Act of 2019 or the MVP Act of 2019 This bill modifies criminal penalties for an offense involving the theft of a firearm from a federal firearms licensee. It also directs the Department of Justice (DOJ) to take specified actions to prevent gun violence. First, the bill modifies criminal penalties for an offense involving the theft of a firearm from a licensed importer, manufacturer, or dealer, or from their business premises. Specifically, the bill (1) increases from 10 to 20 years the maximum prison term, and (2) creates a 3- or 5-year mandatory minimum prison term for an offense that occurs during the commission of a burglary or robbery. Further, an attempt to commit an offense is subject to the same penalties as a substantive offense. Next, the bill establishes a Mass Violence Prevention Center in DOJ to, among other things, serve as the primary government organization for analyzing and integrating all government intelligence pertaining to threats of mass violence. Finally, the bill authorizes DOJ to appoint no fewer than 50 Assistant U.S. Attorneys to implement Project Safe Neighborhoods, which is a national initiative to reduce gun violence in the United States.