"This group has been resilient in terms of bounce backs and finding ways," Washington coach Barry Trotz said. "This has been a tough stretch here the last little while because of the travel and the number of games and the quality of teams we've played every night."
WATCH: [All Senators vs. Capitals highlights]
The Capitals next play the Toronto Maple Leafs outdoors Saturday in the 2018 Coors Light NHL Stadium Series at the U.S. Naval Academy in Annapolis, Maryland.
Mike Hoffman scored a power-play goal, and Erik Karlsson scored his first goal on the road of the season for Ottawa (21-31-10), which lost its fifth straight game. The Senators are 17 points behind the Blue Jackets for the second wild card into the Stanley Cup Playoffs from the Eastern Conference.
Karlsson's goal at 3:14 of the third period made it 3-2. It was his 500th NHL point, third-most in Senators history.
"Not at all [happy] right now," Karlsson said. "Obviously, nice to get it over with and not get stuck at 499, which usually happens when you're close to something."
Kuznetsov finished a cross-ice pass from T.J. Oshie at 15:16 of the first period to give the Capitals a 1-0 lead. Kuznetsov made it 3-1 with 12 seconds left in the second on a wraparound.
"I tried to just get the puck in and then just skate," Kuznetsov said. "No one was open and then I saw the goalie was so close on me. You know, I try so many times, it never gets in. But today was a lucky day."
Wilson's wrist shot from the high slot beat Mike Condon 43 seconds into the second period to make it 2-0.
Hoffman's goal at 6:25 of the second period that made it 2-1 came three seconds after a 5-on-3 advantage became a 5-on-4.