Inverclyde MP Iain McKenzie said he 'watched with glee' as the New York Giants became champions again by beating the New England Patriots.
The MP said: "Lawrence had a fantastic performance, scoring two field goals.
"It looked at one point like we might be seeing Lawrence called upon for a game-winning field goal, however a touchdown was scored instead to seal the game."
Mr McKenzie said that Lawrence, who spoke in pre-game interviews about his joy at representing Scotland and Greenock at the Super Bowl, was an inspiration.
The MP added: "I'd love him to visit Inverclyde soon so we can recognise his achievements personally."
Tynes hit two vital field goals as the Giants ran out dramatic 21-17 victors in the glamour match in Indianapolis in the early hours of yesterday morning.
The 33-year-old Celtic-mad kicker, who still has family in Port Glasgow, was born in Greenock while his US Navy Seal dad was based in Scotland. He became the first Scot to win the Super Bowl in 2008.