He has now surrendered nine runs in nine innings against the Dodgers this season.
Freeman finished 2-for-4 and is 5-for-15 with a home run and five RBIs over three games at Chase Field.
Tucker recorded his first three-hit game since May 17.
The victory, combined with the San Diego Padres' loss, increased the Dodgers' division lead to seven games.
Los Angeles joined the Atlanta Braves as the only MLB teams to reach 40 wins this season.
Upcoming Matchup
The Dodgers will aim to win the series on Thursday as they conclude their road trip.
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Justin Wrobleski is scheduled to start against Ryne Nelson of the Diamondbacks before Los Angeles returns home to face the Los Angeles Angels.
