Goals from Sam Williams, Ryan Dickson and a penalty from Billy Clarke sealed an emphatic win for the Bees.
Williams struck first after eight minutes, sending a looping header from Karleigh Osborne’s cross-field ball over the head of Stanley keeper Kenny Arthur.
Dickson made it two just before the break when he latched onto a Sam Wood through ball and coolly slotted home into the far corner.
And Clarke completed the scoring after 54 minutes when he coolly converted from the penalty spot after Sam Williams was bundled over in the box.
The visitors only real effort of note came after 78 minutes when James Ryan forced a full-length finger-tip save from Brentford keeper Ben Hamer.