Ovechkin increased the lead to 3-0 at 15:05 with a one-timer from just above the left circle off a pass from John Carlson on a power play. He scored once in the previous four games.
Dmitri Orlov scored with 58 seconds remaining in the third period for the 4-0 final.
Capitals forward Anthony Mantha played 16:13 in his first game since Nov. 4, when he injured his left shoulder in a 5-4 overtime loss at the Florida Panthers.
"Mentally felt awesome. It was a long four months, little over four months, so just getting ready for a game felt good," Mantha said. "Then stepping on the ice for warmups you see the fans for the first time in quite some time. Physically, I think it went pretty well. Obviously, a little bit of fatigue at the end there, but [that's] to be expected."
NOTES: Vanecek relieved Ilya Samsonov to start the second period of a 5-3 loss to the Toronto Maple Leafs on Monday. ... Washington had not won since Feb. 17 (5-3 at the Philadelphia Flyers). ... Hurricanes forward Teuvo Teravainen had his point streak end at nine games (12 points; four goals, eight assists). ... Aho's point streak ended at seven games (eight points; three goals, five assists). ... Carlson has scored a point in seven of his past nine games (10 points; one goal, nine assists). ... Washington center Nic Dowd won seven of 10 face-offs. ... The Capitals and Hurricanes will play in the 2023 Navy Federal Credit Union NHL Stadium Series at Carter-Finley Stadium in Raleigh, North Carolina, on Feb. 18. ... Wayne Gretzky (894) and Gordie Howe (801) scored the most goals in NHL history.