Jordan Preston's late equaliser earned Halifax a point and denied Bromley their fourth win of the season.
Bromley led 2-1 going into stoppage-time when Preston met a deep cross at the back post to grab a point for the Shaymen.
Frankie Sutherland saw his penalty saved when Sam Johnson tipped his effort onto the bar, but the Bromley forward made no mistake on the rebound.
Halifax's first equaliser came on the hour when substitute Josh Staunton converted a cross at the far post as he headed past goalkeeper Max Huxter.
George Porter restored Bromley's lead when he ran onto a cross-field ball from Sutherland and hit a great first-time shot into the net.
Halifax assistant manager Phil Hughes and Bromley boss Neil Smith were both booked in the closing stages, before Preston's back-post header earned a point for the West Yorkshire side.
Match report supplied by the Press Association.
