Turner belted a 409-foot drive into the visitors' bullpen in centre field in the first inning to open the scoring.
Pirates newcomer Ka'ai Tom almost created an outstanding catch, but the ball came out of his glove when he struck the fence.
This was the 11th multi-homer match of Turner's career. He's 11 home runs this year.
The Dodgers have won 12 straight games from Pittsburgh relationship to 2018.
Five relievers blanked the Pirates after rookie Tony Gonsolin failed to make it during the next inning of the season debut. Gonsolin was sidelined by right shoulder inflammation.
Victor Gonzalez (3-0) followed closely Gonsolin and pitched 1 1/3 perfect innings for the win.
Kenley Jansen got four outs for his 14th save, such as Ke'Bryan Hayes' lining back through the box to the ultimate out with a runner on base.
Gonsolin walked in 1 2/3 innings but yielded only 1 run. He also gave up two hits and struck out four while projecting 66 pitches.
Tyler Anderson (3-6) pitched well but dropped for the fourth time in his last five decisions. He allowed two runs and six hits in six innings with two walks and 2 strikeouts.
But, Anderson had difficulty with Turner, who finished with three strikes. The third baseman is 17 for 34 from the left-hander with three homers.
The Pirates acquired their conduct in the bottom of the first on Gregory Polanco's two-out single.
Gonsolin was pulled after devoting three successive walks in the next inning to load the bases with 2 outs. Gonzalez relieved and obtained Colin Moran to line outside and maintain the score tied .
The beginning of the match was postponed for 70 minutes due to rain.
The Pirates outrighted rookie first baseman May Craig into Triple-A Indianapolis afterwards he was designated for assignment after which cleared waivers.
Dodgers: to generate roster space for its activation of Gonsolin in the 60-day injured record, INF/OF Yoshi Tsutsugo (right calf strain) has been set on the 10-day IL and LHP Scott Alexander (left shoulder swelling ) was moved from the 10-day IL into the 60-day IL. He began first Tuesday night after missing one game due to the harm and is limited to this position forever.
Pirates: Moran left at the fifth inning after being struck on the Ideal hand with a pitch out of LHP Daivd Price. Moran will be analyzed farther Thursday by team physicians. ... LHP Steven Brault (strained left lat), that has been out all season, has progressed into throwing side quests. ... Rookie RHP Jose Soriano (strained right elbow) will find another opinion after imaging demonstrated structural damage. He's rehabbing from Tommy John surgery with Low-A Bradenton.
Urias has 46 strikeouts and five walks in his past seven starts. Keller left his last start due to a heat-related disease last Friday from Miami.