Faksa was a restricted free agent. The annual average salary of $3.25 million represents a little over a $1 million raise per season for the versatile forward, who fills various special teams roles for the Stars.
Faksa had 20 points and finished seventh on the team with 11 goals in 66 games during the pandemic-shortened season. The 26-year-old then scored three goals -- all on the power play -- and finished with eight points in helping the Stars reach the Stanley Cup Final, where they lost to Tampa Bay in six games.
"Radek has developed into an extremely detailed player and offers our team a mix of size, speed and physicality,'' general manager Jim Nill said in a statement. "He plays big minutes on both special teams units for us, while often times playing against the opposing team's best players at even strength."
The 6-foot-3, 220-pound center from the Czech Republic was selected by Dallas with the No. 13 pick in the 2012 draft. He has 60 goals and 68 assists in 351 career games.
The Stars also re-signed minor-league center Joel L'Esperance, another restricted free agent, to a two-year, two-way contract. He had a goal in three games with Dallas last season and led the AHL's Texas Stars with 25 goals.