The home side, led by ex-Scotland and Lions lock Scott Murray for the first time, scored tries in each half through scrum-half Arnaud Pic and wing William Ryder to make it back-to-back wins over Bordeaux, following their 20-13 away win last week.
Bordeaux have now lost six on the bounce in the competition.
In the night's other match, Agen romped to a 39-9 home win over Bucharest Wolves.

