The match is underway at the Bava Park in Port Moresby.
Mexico's forward, Kiana Palacios, scored a double to help her team take lead.
Mexico dominated the second half, having more ball possession.
The girls in green and white made 11 attempts, having three on target and four off target.
Palacios' first goal, four minutes into the game, was a superb header taken off a corner kick straight into the net, surprising Venezuela goal keeper Franyely Rodriguez.