Fresh off a 7-3 road swing, the Rockies kept right on rolling behind Senzatela, who joins Clayton Kershaw, Dallas Keuchel and Ervin Santana with seven victories this season.
Senzatela (7-1) scattered five hits and showed plenty of poise as the 22-year-old escaped trouble courtesy of four double plays.
Carlos Martinez (3-4) gave up three runs in 7 1/3 innings while striking out nine.