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.
Couple mistakenly served bag of cash at McDonald's drive-thru
Jordana Brewster on Paul Walker: 'He was an enormous presence in my life'