Alec Mills and three relievers combined on a shutout and Chicago bounced back from two lopsided losses to beat Miami 2-0 Sunday and avoid a sweep.
Outscored 21-3 in the previous two days at Wrigley Field, the Cubs squeezed out the win despite managing just four hits. They also extended their season-high streak of scoring no more than three runs to eight games.
But Chicago came out on top thanks to a solid start by Mills (3-1) and a perfect performance by the bullpen.
Marlins rookie Zach Thompson (1-2) took the hard-luck loss after holding the held the Cubs to one unearned run over four no-hit innings.
Pinch-hitter Patrick Wisdom opened the fifth against Miami reliever Ross Detweiler by singling on the 15th pitch of the at-bat, hanging in after falling behind 0-2 and hitting nine foul balls to give himself more chances.
Wisdom later scored on Joc Pederson's single to make it 2-0. The Cubs came away with the win after dropping five of six to fall into a first-place tie with Milwaukee in the NL Central.