With the scoreline locked at 2-2 against Sydney United 58 in extra time, Choi picked up the ball midway in his own half, before belting a shot a full 70m, taking United keeper Thomas Manos by surprise.
It was the first time Blacktown had led in the tie, with the side having gone two goals down in the opening quarter after strikes from Chris Payne and Robert Mileski.
Thanks to a hat-trick from Patrick Anelmi and goals from Joey Gibbs and Mitch Mallia, the men in black stormed to a 6-2 win after an astonishing period of extra-time.
Blacktown City coach Mark Crittenden was confident Chois kick would slot into the net the moment he kicked the ball.
I remember saying to my assistant Its going in. From the moment he kicked it, it looked like it was going in. You just had to see it to believe it. You just didnt expect it to happen. Hes been very consistent this year.
"Danny's something special, he does things that others can't," City boss Mark Crittenden told Fox Sports after the match.
United and City occupy the top two spots in the NSW NPL league, with Wednesday night's losers seven points clear at the top of the ladder.
