The home side ran in four first half tries at Kingsholm to put the game beyond the visitors with Will James, Bill Twelvetrees and George Sharples (2) all touching down, while two Nicolas Sanchez penalties and a late converted score by Gauthier Gibouin ensured the visitors were not embarrassed.
The hosts, keen to use the momentum from their opening win at Mont de Marsan, dominated from the off and took just six minutes to score the first try with James touching down in the corner after he outmuscled Avesini Vasuinubua.
Twelvetrees missed the conversion as he did for their second score six minutes later when the Irishman took advantage of a brilliant kick through by Jimmy Cowan to outrun the Bordeaux backline and touch down.
Sanchez converted two penalties to get his side back into the clash but two Sharples tries, the second made by an excellent Ben Morgan run, put Gloucester well in control at the break, 25-6 ahead.
The second-half was a less frantic affair, but it was the visitors who had the final say as a Gibouin crashed over.
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