Ak Bars Kazan defender Yevgeni Medvedev collected two points for assists, while 'keeper Sergei Bobrovski produced 22 saves to record Russia's 11th win in 18 head-to-head meetings with Sweden at the world championships in the post-Soviet era.
"We paid the price for our muddled performance at the very beginning of the match allowing the Swedes to grab the lead easily," Washington Capitals marksman Alexander Ovechkin said.
"For many of my teammates it was the first world's semi-final and naturally some of them were nervous.
"Luckily, we managed to come back to score twice before the first break and kept our lead through. Now we have just one match to play at the tournament and we will do our best to win it."
Ovechkin also praised Russia's goalie Bobrovski for his outstanding performance at the event in general and in the last four clash in particular.
"He (Bobrovsky) is without doubt more than a half of our team," he said.
"He's one of the NHL's top 'keepers and I consider him to be the best player of this world championship. Regardless of our field players' performance he always acts at his top boosting the team's confidence a great deal."
Sochi Games runners-up Sweden got off to a flying start as their forward Oscar Möller put them 1-0 up when the match was just 19sec old, sending the puck in between Bobrovski's pads from close range following Russia's defensive blunder.
Russia replied positively and began peppering Sweden's goalie Anders Nilsson with shots to pull the scores level at when their forward Sergei Plotnikov wristed in a rebound after the 'keeper deflected Medvedev's initial shot.
Right winger Sergei Shirokov lifted Russia 2-1 up with two minutes remaining before the first intermission beating New York Islanders netminder Nilsson with a mid-range wrist shot after a piece of good individual work.
SKA St Petersburg rear guard Anton Belov increased Russia's lead with a powerful slap shot into the second period.
Sweden manager Par Marts substituted Nilsson for an extra attacker with remaining in the third period while Russia's Denis Denisov was sinbinned but Calgary Flames forward Mikael Bäcklund's 5+20 min late penalty for charging dashed Sweden's hopes of saving the day.
"It's a very frustrating defeat," Detroit Red Wings forward Gustav Nyquist said.
"We had some very good opportunities to come back in the second period. I think Möller has got another chance to go upstairs but Bobrovsky has made a really nice save. Obviously we should have scored more."
In the gold medal match Russia will face either 2010 world champions Czech Republic or 2011 title winners Finland, who meet in Saturday's second semi-final.
The bronze medal game and the final will be played in Minsk .