West Bromwich Albion striker Salomon Rondon tapped in the only goal as Venezuela reached the quarter-finals.
The defeat was the second in as many group games for Uruguay, with Mexico’s 2-0 victory over Jamaica in Pasadena confirming their exit.
While Venezuela pressed forward early and put the Uruguay defense under pressure, they found it difficult to create any clear-cut opportunities on goal.
Uruguay had a good chance to open the scoring in the 15th minute through Edinson Cavani after Gonzalez set him up with a cutback, but the Paris Saint-Germain forward fluffed his shot.
Cavani came close again just past the half-hour mark when he looked set to get on the end of a Ramirez free kick, but he was unable to get any connection on the ball as it went off the post and out for a goal-kick.
Venezuela went ahead when Alejandro Guerra spotted Uruguay goalkeeper Fernando Muslera off his line and launched an audacious 50-yard effort that Muslera did well to tip onto the crossbar but Rondon was alert to the rebound and reacted quickest to turn the ball into the net.
Cavani’s open shot went just wide in the 89th minute and Uruguay put on more pressure in the final minutes, but nearly conceded a second goal in second half stoppage time. On a last-ditch equalizing attempt, La Celeste summoned Muslera into the penalty area for a corner kick, but Venezuela cleared and caught a fast break, which saw Romulo Otero put his shot towards the empty net just inches wide in the game’s dying seconds.
Defender Maxi Pereira made
Venezuela plays Mexico Monday in Houston. Uruguay and Jamaica meet Monday in Santa Clara, California, the Group C finales for all four teams.