The Swiss, 35, won 6-3 6-1 6-4 to become the most successful man in Wimbledon singles history, and claim a 19th Grand Slam title.
Federer’s previous triumph at the All England Club was in 2012, and he has since lost in the 2014 and 2015 finals.
“It’s special, Wimbledon was always my favourite tournament,” he said.
“I truly believed. For me, it was also important that my team believed it, as well.