Jurrjens (13-5), who snapped a five-game winless stretch and won for the first time since July 6, gave up eight hits and walked five. The right-hander escaped several jams, including twice with the bases full.
The Cubs, who took two of three from St. Louis at Wrigley Field over the weekend, couldn't get the clutch hit in the opener of this four-game series and left 15 men on base.
Chicago had a runner in scoring position in all but two innings, put two men on against Jonny Venters with nobody out in the ninth. Venters, who walked the first two batters, fanned Carlos Pena and Marlon Byrd. Alfonso Soriano then grounded a ball up the middle, but shortstop Alex Gonzalez made a sliding stop and managed to tag second base for the final out.
Venters, who stretched his scoreless streak to 24 games, recorded his fifth save.