Top Gun is a 1986 American action film directed by Tony Scott. In the movie, Tom Cruise plays Lieutenant Pete "Maverick" Mitchell, a young aviator aboard the USS Enterprise. He along with his radar intercept officer, Lieutenant, are given an opportunity to train at Naval Air Station Miramar's Fighter Weapons School (Top Gun).
The movie title in the poster is most likely written in ITC Machine by Ronnie Bonder and Tom Carnase. The font is a commercial one and more details about it can be found here.