Corey Crawford made 22 saves for the Blackhawks, who are looking for their third Stanley Cup in six seasons. Teravinen, Chicago's youngest player, has only been with the team a few months and tied the game with his third goal of the postseason with 6:32 play in regulation. Vermette's third goal gave Chicago the lead with 4:34 left.
Teravinen is the youngest player to have a multipoint game in the Stanley Cup Finals since 19 year-old Jaromir Jagr did it for the Pittsburgh Penguins in 1991.
Ben Bishop made 19 saves in a losing effort, while Alex Killorn backhanded in the first goal of the game in the opening minutes. Tampa Bay was 6-0 in this postseason when Killorn scores before Wednesday's setback.
Bishop was coming off a shutout of the New York Rangers in game 7 of the Eastern Conference Finals, and nearly had his third shutout of the playoffs on Wednesday.
The winner of game 1 has won the Cup in 58 of the past 75 finals since 1939, including the last three. The Blackhawks won game 1 in 2010 and 2013, both of which they ended up lifting the Cup. It is their 13th overall finals appearance, and third under head coach Joel Quenneville.
Game 2 of the series will take place in Tampa Bay on Saturday night.