Stephane Darbion had the first effort on goal after 17 minutes, but his strike missed the targer.
Brest then had their first chance through Florian Raspentino, although his effort was wide of the mark.
Troyes eventually took the lead just before half time after Fabien Camus finished well to make it 1-0.
Camus then turned provider after 54 minutes, setting up Darbion, who finished well to double the home side's lead.
Benschop was involved again as Brest pushed forward for an equaliser, but his shot was well saved.