Hiller, making his first start in nearly a month after battling a lower-body injury, was especially sharp in the first period went he turned away 11 shots as the Pacific Division-leading Ducks racked up their fifth straight win.
Perry's power-play tally 8:44 into the third period gave Anaheim a 3-1 lead while Ryan Getzlaf contributed a goal and an assist in the win.
Peter Holland also found the net for the Ducks.
Sergei Bobrovsky made 26 saves for Columbus.
Kim Kardashian, Kanye West reportedly set wedding date
NBC reportedly holds celebs hostage to Jimmy Fallon's show