After seven minutes Rovers had the first opportunity with the impressive Ryan Williams latching on to Darren Davies' cross only for his effort to be deflected wide for a corner.
From that very corner it was Williams again who sent a curling 25-yard shot just over the crossbar.
Halifax had a half chance five minutes later, Craig Midgely turned his marker but his low shot was comfortably saved by Steve Perrin.
The visitors came close again just past the half hour, Lewis Killeen hit a ferocious drive which unfortunately for Halifax was from a tight angle and Perrin did well to parry the ball away.
Perrin came to Forest Green's rescue again five minutes into the second half, Martin Foster's inswinging corner found Paul Stoneman whose point-blank header was superbly tipped over by the keeper.
Stoneman was guilty of another miss 20 minutes from time, his header from close range after beating the offside trap went well over the Forest Green goal.
Despite being on the back foot for most of the first half Rovers came close to claiming the three points in injury time.
Ryan Williams sent over a cross from the right wing and Matt Gadsby's header went just over with Denny Ingram getting back well to limit the danger.