The 34-year-old led his side on a game-winning drive in the fourth quarter, finding MVP Cooper Kupp in the endzone with just two minutes on the clock.
It was Stafford's third touchdown of the game, and a valiant effort from the Rams defence, led by Aaron Donald, helped stop the Bengals in their tracks to secure a 23-20 win.
The Super Bowl win capped off a superb first year for Stafford at the Rams, who had never won a postseason game during his 12 year stint at the Detroit Lions.
After such a climactic finish, Stafford said he'd need time for his achievements to truly sink in, but reserved praise for his side's togetherness.
"It's probably gonna take some time," he said. "I'm gonna have to think about it.
"I know in the moment I didn't know what to think. I was just a little emotional and so happy to be a world champ. And so happy to be a part of this group. That's the biggest thing.
"It's not me, it's not any individual on this team. We're a group, we're a team. And to get it done together was so special."
Having endured over a decade of failed playoff matches with the Lions, Stafford suggested the lessons he learned from such defeats helped him across the line on Sunday night.
"I love playing this game," Stafford added. "I love playing this game for the competition, for the relationships, for the hard times, for the good times, all of it.
"This game can teach us so much as people. I get to go to work with people from all walks of life, come together and go for one goal.
"For 12 years, that goal wasn't reached. It tore me up inside, but I knew I could keep playing and try to find a way.
"The fact we reached that goal today is so special."
Joe Burrow hoping to learn from loss
Stafford's experience may have proved to be the difference, and Bengals quarterback Joe Burrow is hoping he too can take positives from defeat.
The 25-year-old threw for 263 yards and a touchdown, but was sacked seven times by a dominant Rams defence.
"I'm disappointed in my performance overall," said Burrow.
"I thought I could have played better. You live, and you learn.
"We're a young team. You'd like to think we're going to be back in this situation multiple times over the course of the next few years.
"We take this and let it fuel you for the rest of our careers."