Aramis Ramirez gave the Cubs the lead with his third single of the game to snap a seventh-inning tie.
Third baseman Scott Rolen's two-out fielding error opened the door for the Cubs, who are an N-L-best 20-and-7 since June Third.
Zambrano is 13-and-7. He labored through 117 pitches in six and a-third innings. His scoreless streak ends at 20 and a-third innings over three games on Skip Schumaker's two-run triple in the fifth.
Kip Wells fell to 4-and-13 with the loss.
Viewers with disabilities can get assistance accessing this station's FCC Public Inspection File by contacting the station with the information listed below. Questions or concerns relating to the accessibility of the FCC's online public file system should be directed to the FCC at 888-225-5322, 888-835-5322 (TTY), or firstname.lastname@example.org.