The Dodgers were trailing 3-2 in the eighth inning when Yasiel Puig led off against David Carpenter (0-1) with a double down the right field line.
Uribe then came up and worked the count to 2-2 before clubbing a pitch over the left-field fence for the decisive blow.
Brian Wilson (1-0) earned the victory with a scoreless top of the eighth and Kenley Jansen struck out the side in the ninth for the save as the Dodgers bested the Braves 3-1 in their NL division series.
Carl Crawford smacked a pair of solo homers for Los Angeles, which gained its first NLCS since 2009.
Chris Johnson went 3-for-4 with an RBI while Andrelton Simmons and Jose Constanza each drove in a run for Atlanta, which failed to get past the NLDS for the eighth time in nine post-season appearances.