The Fire and Dynamo split the points after Mike Magee struck to pull his team level.
Cam Weaver got Houston on the board in the 61st, tapping home a low cross from Brad Davis to give the home side a 1-0 advantage.
But Magee answered just two minutes later. Patrick Nyarko's hard work won the ball back on the right wing and he fired a cross just in front of goal to the waiting Magee, who needed only to get his foot on it to level the score.
With both teams pushing to find a winner late, goalkeepers Tally Hall and Paolo Tornaghi were called on to make big saves, and neither team was able to find a vital second goal.