After having a goal and three assists in regulation to end his mini-slump of two games without a point, Ovechkin scored the only goal in the shootout to lift Washington past Atlanta 6-5, giving the Capitals a rare road victory.
Ovechkin also scored the only shootout goal in the Capitals' 3-2 win over the Thrashers in Washington on Nov. 4.
"When I got into the shootout, I know what I'm going to do," Ovechkin said. "I just got the shot that was available and was able to make."
The Capitals are 4-2 in shootouts.
After Washington's Andrew Cassels and Atlanta's Ilya Kovalchuk had shots blocked to lead off the shootout, Ovechkin's shot over Atlanta goaltender Michael Garnett's glove hit the bottom of the crossbar and dropped into the net to give the Capitals the lead.
Johnson stopped 29 shots, including two in overtime, for his second win of the season.
Johnson, giving regular goalie Olie Kolzig a night off, surpassed Washington coach Glen Hanion's expectations.
"We just expect him to hold strong and steal us a point," said Hanion of Johnson. "It was unexpected for him to shut them out in a shootout."
Washington improved to 4-11-1 on the road. The Capitals snapped a two-game losing streak and won for only the third times in their last 12 games.
The Capitals also beat Atlanta 3-2 in a shootout on Nov. 4 in Washington.
The Thrashers were denied their first four-game winning streak of the season. They fell to 0-4 in shootouts but took some consolation in rallying from a 5-3 deficit with two goals in the third period.
"This was still a good point for us," Hossa said. "We came back after we been down. In shootouts, it seems we cannot win."
After setting a franchise record with 55 shots on goal but still losing 3-2 to Florida on Sunday, the Capitals needed a season high for goals in a game to take the win. They outshot the Thrashers 37-34.
"If you don't shoot the puck, how are you going to score goals?" Ovechkin asked.
The Capitals needed only two periods to match their scoring high for the season with five goals. Washington had scored five goals four times this season, most recently in a 5-1 win over the New York Rangers on Dec. 3.
Washington led 5-3 after two periods, but Atlanta pulled even with third-period goals from Sutton, his first of the season, and Hossa, setting up the scoreless overtime.
Washington is 8-0 when allowing no more than two goals, but it had won only two of 23 games when giving up three or more goals. That changed with Thursday night's high-scoring game.
The Thrashers took a 3-2 lead in the first period, but the Capitals answered with three goals in the second period for a 5-3 advantage.
Kovalchuk drew a 10-minute misconduct penalty 2:02 into the third penalty. The penalty came after Kovalchuk threw his stick handle over the glass after breaking his stick on a shot attempt.
"I broke my stick and threw it away," he said. "I didn't do it on purpose."
- With Serge Aubin unable to play due to flu symptoms, the Thrashers recalled forward Karl Stewart from the Chicago Wolves of the American Hockey League. Atlanta also recalled G Adam Berkhoel from Gwinnett of the ECHL.
- Capitals pulled even in the series with Atlanta, 2-2.