Suppan (2-0) worked five innings for his second win after going for more than a year without appearing in a Major League game.
Suppan allowed one run on four hits and two walks before turning the game over to a parade from the bullpen that ended with Dale Thayer earning his first save.
Will Venable had two hits and an RBI for the Padres, who improved to 4-4 on their current home stand.
Todd Helton drove in Colorado's lone run. Alex White (0-1) took the loss in his first start since coming up from Triple-A Colorado Springs. White allowed two runs on six hits and struck out five over 6 1/3 innings.
Swim Week Miami Beach 2014 [PHOTOS]