The victory was Federer's 16th in a row in the Open.
Federer won 6-3, 6-4, 7-5, breaking Henman's serve four times in a contest that took just two hours at Arthur Ashe Stadium in Flushing Meadows.
The phenomenal Swiss player is the No. 1 male player in the world and has won eight Grand Slam tournaments. This year's haul includes the Australian Open and Wimbledon, where he has taken the title four times.