Celtic had three minutes of stoppage time to salvage the match when Mikey Johnston cut in from the left wing.
Hamilton had battled hard to get back into the match with all of their players strung within 30 yards of their own goal when the ball fell to Brown.
50 seconds in
We managed to get up the park and I managed to get a little bit lucky with a left foot squiggler!
Fraser Forster ran 100 yards to join in the celebrations for the goal as the enormity of the strike began to sink in.
While Celtic were snatching two points at the death from a game that looked lost their title rivals from Ibrox were throwing away a two-goal lead at Aberdeen.
Half an hour into last night’s match the two Glasgow sides were level on points, goal difference and goals scored but after Brown’s squiggler Celtic are two points clear at the top of the SPFL Premiership.