The Group B tie takes place in the French city at 14:00 BST on Thursday, 16 June and will be live on the BBC.
The ban will run from 06:00 local time on Thursday until 06:00 on Friday, with French authorities searching cars travelling into Lens for alcohol.
Fans without tickets for the match or fan zone have been told not to travel.
Alcohol will only be allowed in the fan zone.
British police have told ticketless supporters to go to Lille, or another city with a fan zone, to watch the game.
Every game in Lens will have the same alcohol restriction.
So the ban will be in place for the Albania v Switzerland, and the Czech Republic v Turkey group games, as well as a round-of-16 match.