March, who missed Saturday's 2-1 defeat at Liverpool due to the problem, went under the knife on Monday and will miss the Christmas period.
Seagulls boss Graham Potter admits the setback is a big disappointment for both the player and the club, but it was a course of action that needed to be taken to cure the problem once and for all.
Potter says the player has been struggling for a number of weeks with the problem and hopes the surgery will sort it once and for all.
"It was in his groin area and we just needed a bit of work there," Potter said.
"He had pain and the way he plays, he is a sprinter. It is better just to get it cleared up, it was the best option for him."
The problem was aggravated when he took a free-kick against Leicester City and the club decided enough was enough and surgery was needed.
March will now miss out when Brighton take on Arsenal on Thursday night.
The Seagulls head to the Emirates on Thursday night in what will be interim head coach Freddie Ljungberg's first home game in charge of Arsenal, and they look to be there for the taking.
Potter's side put on a good show at Anfield at the weekend, losing 2-1, and he wants more of the same in north London in the hope of piling more misery on the Gunners.
"Arsenal are a top club with good players and they are looking for a reaction," he said. "Freddie has had one game at Norwich and he'll be looking at new things. We need to make sure we are at the level we need to be to get something from the match."