Appearing in his 11th Wimbledon final, the Swiss maestro was challenged early on by his opponent.
But once he broke a nervous Cilic in the fifth game of the opening set, the match became a no-contest.
Cilic was overwhelmed, physically and mentally, and Federer claimed victory in less than two hours to become the oldest man to claim the title in the professional era – 22 days before his 36th birthday.
Cilic required a medical timeout after surrendering the second set in 25 minutes – a problem apparently with his foot – but it was his gees that was stukkend.
Federer missed a first match point when a forehand went wide but converted the second with his eighth ace of the match.