ATLANTA — Javier Vazquez is accustomed to pitching with very little run support from his Atlanta teammates.

At least this time, enough went right for Vazquez to win for the first time in six starts as he and three Braves relievers combined to shut out the Chicago Cubs 2-0 on Monday night.

"You're not going to get the win every time out, but I'll take it," he said. "I like that I threw a good game and got the win."

In a makeup game caused by a June 4 rainout, the Braves won a series for the first time since completing a three-game sweep of Toronto on May 24. The Braves had gone 0-5-3 in their last eight series. Atlanta and Chicago split the first two games of the original series June 2-3.

With the New York Yankees, Boston Red Sox and Philadelphia Phillies visiting Turner Field for nine games over the next 10 days, the Braves wanted to build some momentum.

"I think we look at it more as the start of our homestand," Braves catcher Brian McCann said. "Those are some tough teams coming up."

Atlanta, which snapped a two-game slide, ended the Cubs' four-game winning streak.

Vazquez (5-6) gave up nine hits and two walks with five strikeouts. The right-hander's victory snapped a five-start streak in which he went 0-3 despite a 3.44 ERA. Over Vazquez's last six starts, the Braves have scored a total of 10 runs.

"We haven't gotten anything for him," Atlanta right fielder Jeff Francoeur said. "We haven't exactly torn it up for him, but the way he's been pitching all he needs is two runs every time out."

Rafael Soriano, who gave up a single and a walk, struck out the side for his sixth save in seven chances.

Chipper Jones' sacrifice fly in the seventh inning chased Ryan Dempster (4-5).

Nate McLouth's RBI single in the third gave the Braves a 1-0 lead. Diory Hernandez scored from second after leading off with a walk and advancing on Vazquez's sacrifice bunt.

In the seventh, McLouth doubled with one out and moved to third on Martin Prado's single. After a mound visit from Cubs manager Lou Piniella, Dempster gave up a sacrifice fly RBI to Jones that scored McLouth for a 2-0 Atlanta lead.

Dempster is 0-2 in his last four starts. but the right-hander has a 2.10 ERA over that stretch of 25 2/3 innings.

The Braves improved to 4-22 when scoring two runs or less.

DP-Chicago 2, Atlanta 1. LOB-Chicago 12, Atlanta 9. 2B-McLouth (12), C.Jones (12), G.Anderson (9), Francoeur (7). SB-McLouth (10). CS-McLouth (1). S-Dempster, J.Vazquez. SF-C.Jones.

T-2:58. A-31,701 (49,743).