Darryn Stamp proved to be the man-of-the-match as his two first-half goals put the home side in a dominant position which they never relinquished.
After a fiery opening in which home skipper Jason Goodliffe was booked after just three minutes, it was Stevenage who drew first blood when they took the lead after 11 minutes.
Goodliffe provided the vital flick into the box from a free-kick and Stamp was on hand to force the ball in and open his Broadhall Way account.
Farnborough did try a fight back with both Paul Harkness and Naranda Bernard coming close, but it was Stevenage who dominated proceedings with Anthony Elding twice forcing saves from Farnborough keeper Mark Osborn.
Soon after Stamp himself looked certain to score when clean through on goal only to see his shot saved by the keeper.
Stevenage's frustration was finally ended on 34 minutes when they grabbed a decisive second. It was Stamp who was at the end of a fine move and he tapped the ball home from close range after a neat cross into the box from Michael Warner.
It was much the same in the second period as Stevenage began brightly and looked to have killed the game off with a third just five minutes after the re-start.
Justin Gregory was the provider with a telling cross from the left and Dannie Bulman added the finishing touch from close range.
Farnborough found a way back into the game and after Robert Traynor pulled one back with 17 minutes to go and a grandstand finish looked on the cards.
But Farnborough were unable to make the breakthrough and the afternoon was to end in even more frustration when Jimmy Turner was sent off in added time for aiming a petulant punch at Stevenage striker Elding.