It will be located inside a sports bar on post.
Topgolf describes the Swing Suite as having a massive video screen and a selection of virtual games for golfers and non-golfers.
Topgolf is also opening a similar operation at Fort Benning in Georgia.
"Our hope is to provide the backdrop for active military to enjoy a one-of-a-kind, virtual Topgolf experience with their loved ones and others in their military communities," said Topgolf Chief Executive Officer Dolf Berle in a statement.
An opening date at Fort Bragg has not been announced.
Topgolf operates 50 locations around the world with hitting bays and food and drinks.