Gomez scored the second run on Lucroy's single in the third after getting hit by a changeup from Gerrit Cole (3-3). It was their first meeting since the teams brawled last month in Pittsburgh after Cole and Gomez exchanged words.
No confrontations Tuesday, though Gomez did leave the game with lower back tightness.
Braun was activated from the disabled list earlier Tuesday following an oblique injury. There was no immediate word on why he left after the sixth.
Marco Estrada (3-1) struck out eight in six innings. Francisco Rodriguez tossed a hitless ninth for his 16th save.