By topping the group Mexico are likely to avoid Argentina in the quarter-finals.
Argentina require just a point in their final game against Bolivia to be sure of top spot in Group D.
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Mexico and Venezuela each finished with seven points from their three matches but 'El Tri' had a superior goal difference.
Venezuela had seized the advantage in the 10th minute when Jose Manuel Velazquez silenced the pro-Mexico crown in Houston with a sensational overhead kick.
Venezuela's Josef Martinez came close to scoring with a bicycle kick but Mexico goalkeeper Jose de Jesus Corona saved well.
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Venezuela keeper Daniel Hernandez also produced a string of saves before conceding his first goal of the tournament.
In the group's other match, Uruguay finished the tournament on a high with a 3-0 victory over Jamaica in Santa Clara, California.
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With both teams already eliminated after losing their opening two games, Uruguay went ahead through Abel Hernandez in the 21st minute, doubled their lead on an own goal in the 66th minute before Mathias Corujo made it 3-0.
Jamaica ended the tournament without picking up a point or scoring a goal.
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