It means Bouygues' customers can gain access to some top-fight soccer, both home and abroad.
Téléfoot's sports rights include the bulk of Ligue 1 matches in the French league, from season 2020-21 to 2023-24.
Mediapro has also secured rights for UEFA Champions League and UEFA Europa League football during the 2020-21 season.
Bouygues says it will broadcast Téléfoot on both ADSL and FTTH networks, as well as offer separate packages for mobile-only subscribers using a web-based app.
The French operator does not have Téléfoot exclusivity in France. Local rival SFR signed on the dotted line with Mediapro last month.
Mediapro paid €780 million (US$927 million) per season for Ligue 1 broadcast rights, and it clearly wants to sign up as many Téléfoot distribution partners as possible to get a return on its investment.
Some local media reports said Mediapro was close to agreeing to a Téléfoot distribution deal with Facebook.
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— Ken Wieland, contributing editor, special to Light Reading