The Shaymen held on until the 75th minute when the 28-year-old forward netted from Bradley Goldberg's cross.
Halifax were then denied an equaliser as Hamza Bencherif saw his shot, following a nice turn, hit the post.
The away side are a point above the drop zone, with Boreham Wood overtaking them after they drew with Barrow.
Adam Cunnington's second-half strike was enough to earn Bromley victory as Halifax dropped closer to the relegation places.