CHICAGO -- Left-hander Travis Wood allowed just two runs in seven innings, and he received early offensive support from his Chicago Cubs teammates in a 6-2 victory over the Pittsburgh Pirates on Tuesday at Wrigley Field.

The Cubs won their third straight and second in a row over the Pirates in a three-game series which concludes Wednesday.

Chicago pounded out 12 hits and gave Wood all the runs he needed in a three-run second.

Cubs center fielder Dexter Fowler and shortstop Starlin Castro had three hits apiece, and left fielder Junior Lake added two in his first appearance since a Monday call-up from Triple-A Iowa.

Wood (2-1) struck out nine and walked none and permitted five hits.

The Cubs stole five bases but left 12 men on base.

Pirates left-hander Jeff Locke (2-1) allowed six runs (five earned) on eight hits in 3 2/3 innings. He walked three and struck out five.

Pittsburgh left fielder Starling Marte went 2-for-4 and hit his sixth homer of the season in the fourth inning.

The Cubs got to Locke for three runs in the second inning.

With no outs and runners on first and third, rookie second baseman Addison Russell doubled to the left field corner to drive in Castro. Russell and Lake, who was perched on third, then came home on Fowler's single.

In the third, Lake delivered a two-out RBI double to score Castro for a 4-0 Cubs lead.

The Pirates halved the deficit with Marte's home run to left with two out. The two-out shot drove in center fielder Andrew McCutchen, who reached on an infield single.

In the fourth, Cubs third baseman Kris Bryant made it 5-2 with a two-out hit that scored first baseman Anthony Rizzo from third.

That was it for Locke, who departed in favor of left-hander Antonio Bastardo with runners on first and third. Castro greeted Bastardo with a base hit to left, driving in right fielder Jorge Soler for a 6-2 lead.

The Cubs stole four bases in the fourth inning, including two double steals. It was the first time they had four steals in an inning since Aug. 23, 1997, in the first inning against the Montreal Expos.

NOTE: Pirates manager Clint Hurdle said OF Greg Polanco felt better, but Polanco remained out of the starting lineup for the second straight game with a groin strain. ... Tuesday night's game was only the second time this season that Pittsburgh faced a left-handed starter. Cubs LHP Travis Wood pitched both games but had no-decision in an April 21 meeting. ... The Pirates send RHP Gerrit Cole (3-0, 2.19 ERA) against Cubs RHP Kyle Hendricks (0-0, 5.74 ERA) in Wednesday's series finale. ... The Cubs had a starting infield this week (1B Anthony Rizzo, 2B Addison Russell, SS Starlin Castro and 3B Kris Bryant) in which every member was age 25 or younger. It was only the third time in team history they had an infield collectively that young.