The two teams were playing a makeup game after Friday's contest in Denver was rained out.
Nolasco (2-0) was sharp, scattering seven hits, fanning nine and allowing no walks in the gem. Leo Nunez earned his fourth save by pitching a scoreless ninth.
Uggla's solo shot in the second put the Marlins up 1-0, and Florida extended its lead to 3-0 in the next inning on Carroll's homer and an RBI single from Cantu.
Ian Stewart got the only RBI for Colorado in the Rockies' loss.
Astronomers offer more expansive view of universe
McPhee, Cokas 'working on their marriage' after affair