Ovechkin's tallies were his league-leading 29th and 30th of the season and the Capitals superstar also added an assist.
Nicklas Backstrom provided a goal and an assist as the Southeast Division-leading Capitals reeled off their ninth win in 10 games. Mike Ribeiro distributed three assists and Mike Green helped out on two goals.
Braden Holtby turned aside 35-of-36 shots to record the win.
Max Pacioretty scored and Carey Price was lit up for five tallies on 25 shots for the Northeast Division-leading Canadiens, who fell to 2-5-0 in their last seven games.
Moore to attend retreat in to avoid Kutcher's wedding
Yosemite climber falls 30 feet, suffers major injuries