The Revolution (8-8-6, 30 points) got goals from Gil in the ninth minute and Antonio Mlinar Delamea in the 55th, while Turner made six second-half saves for his third shutout in nine games this year.
New England is 6-0-4 since May 11, including five wins and two ties under coach Bruce Arena. Interim coach Mike Lapper was 1-0-2 after Brad Friedel was fired.
The club record is 11 games without a loss, set in 2005.
First-year Cincinnati (5-15-2, 17 points) has the worst record in Major League Soccer and has two consecutive defeats following a pair of wins.
FCC are now 0-13-1 when allowing the first goal, after Gil tallied his team-best seventh of the year and third in as many games.
He passed to Cristian Penilla deep on the left flank. Penilla whipped a cross to the middle of the box to Gustavo Bou, who pushed the ball back to Gil for the left-footed shot. Bou, who scored on a stunning volley in his debut Wednesday against Vancouver, got his first MLS assist.
New England almost doubled the lead two minutes later, but Teal Bunbury took an unmarked strike poorly and sent it off the crossbar.
Bunbury came close again in the 41st but was denied by a right fingertip save by Spencer Richey on an 18-yard strike.
In the second half, poor marking of a Gil corner kick allowed Penilla to find an open Delamea for the header from 7 yards to make it 2-0.
Richey made five saves for Cincinnati, which has been shut out nine times.
On Saturday, Cincinnati plays at Toronto FC, and New England hosts Orlando City.