Kesler did not play Wednesday against the St. Louis Blues after hurting his left hand blocking a shot during the 2014 Sochi Olympics, and Tanev has missed seven games since injuring his right thumb blocking a shot against the Edmonton Oilers in late January.
They are welcome additions to the Canucks, who snapped a seven-game losing streak with a 1-0 win against St. Louis.
Kesler leads the team with 20 goals and is tops among NHL forwards in average ice time at 22:12 per game. He plays on the top power-play and penalty-kill units for the Canucks. He was injured by an Ilya Kovalchuk shot in the preliminary round in Sochi but played the final four games for the United States before returning here.
"He has been our most consistent guy," Canucks coach John Tortorella said. "He's been a horse, so it's a really good thing for our lineup. It kind of slots some other guys where they should be, so we're happy."