Lovullo guided Arizona to a 93-69 record and reached the playoffs in 2017 -- the team's first postseason berth since 2011.
Roberts received five first-place votes while Black and Counsell received three apiece. Baker got one first-place vote.
The Diamondbacks improved by 24 games over 2016 in Lovullo's first season. He joins Bob Melvin (2007) and Kirk Gibson (2011) as the only Arizona managers to win the award.
Lovullo was the Boston Red Sox's bench coach before being hired by the Diamondbacks.