Broster, who is moving to join Biarritz, joined Wasps in 2009 and has made 88 appearances to date.
Ben Broster said: “I’ve thoroughly enjoyed my time at Wasps but I am looking forward to a new experience in France with my young family. I want to say a big thank you to everyone at Wasps, all of the coaches, staff and players and of course to all of the supporters of the Club. I wish everyone at Wasps well for the future and I am really looking forward to running out in front of a large crowd for my final home game at Adams Park next week. Finally, I want to thank everyone in changing room "F" for first rate banter and lots of memories!”
London Wasps Director of Rugby Dai Young said: “We wish Ben and his family all the best in their move to France. He has been a main-stay of the team over the past season and has done a fine job. While we have already brought in some young tight-head prospects, this is an area we are looking to further strengthen and we hope to be able to announce an experienced signing in this position in the near future.”