French police have been criticised for firing tear gas and pepper spray at some Liverpool fans waiting to get in to the stadium in Paris on Saturday.
Nadine Dorries said it was in everyone's interest to "learn lessons".
European football's governing body Uefa has said it will "review these matters urgently".
The French sports ministry has called a meeting with Uefa, the French Football Association, stadium officials and police on Monday to "draw lessons" from the event.
French interior minister Gérald Darmanin appeared to lay the blame on British supporters, tweeting on Saturday that thousands were without proper tickets and had forced entry, while claiming some had assaulted stewards.
The kick-off at the Stade de France was delayed by 36 minutes, with Uefa initially citing the "late arrival" of fans.
But many Liverpool supporters spoke of long queues in the hours leading up to the game and a heavy-handed police response to the build-up of fans.
Uefa later put the delay down to "security reasons" and said the turnstiles at the Liverpool end had become "blocked by thousands of fans who had purchased fake tickets which did not work".
Real Madrid beat Liverpool 1-0 in the final.
Tom Whitehurst said after arriving at the ground, he had to get his disabled son "out of the way" after they were pepper-sprayed.
"The treatment of supporters by Uefa and the police was an absolute disgrace," he said.
"[Fans] were indiscriminately pepper-sprayed and there were people with tickets, who arrived two-and-a-half hours early, who were queuing up and they were charged at by riot police with shields."
Merseyside Police said its officers who were deployed in Paris and attended the match "reported the vast majority of fans behaved in an exemplary manner, arriving at turnstiles early and queuing as directed".
Paris police said they made 105 arrests at the game, with 39 people still in custody.
Liverpool fan Michael Carter told the BBC that families and children were among those being pepper sprayed, with no explanation from officials.
"We're throwing water on the kids trying to get the spray off them, we're running to a bar getting glasses of water... and then we put it on ourselves because we couldn't breathe," he said.
Elsewhere, he said people were lifting each other over the walls as they were being crushed.
Near the stadium's entrance, he said "the atmosphere just turned - all of our lads were like 'I don't care about the result' - we just felt unsafe".
"I was scared I wasn't even going to make it into the game," he said.
Liverpool FC also called for an investigation into the event, and said they would be asking fans to contact them directly with their experiences.
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