CLEVELAND (AP) -- C.C. Sabathia pitched his fifth career shutout and the Cleveland Indians kept rolling at home, defeating the Kansas City Royals 1-0 Tuesday night.
Sabathia (9-1) joined John Lackey of the Los Angeles Angels as the majors' only nine-game winners. He improved to 4-0 in five starts since May 16, while the Indians increased baseball's best home record to 20-6.
Sabathia moved to 6-0 in eight home starts. He allowed five singles and struck out eight.
Cleveland improved to 16-6 in the AL Central with its first win over the Royals, who took two of three from the Indians on May 22-24 in Kansas City. The Royals have lost 10 of 12.
Franklin Gutierrez led off the third with his first homer of the season off Jorge De La Rosa (4-6). The Royals' lefty allowed five hits and one run over 7 1-3 innings, striking out a career-high seven and walking two.
The left-hander also didn't walk a batter for the second time this season. Sabathia has walked only eight in his last 70 innings and not more than one in any of his last 10 starts dating to April 20.
Sabathia, who a year ago led baseball with six complete games and tied for second in the AL with two shutouts, pitched his first shutout since a three-hitter against Baltimore last July 7.
Indians catcher Victor Martinez twice threw out runners trying to steal. Sabathia pumped his fist when he struck out Mark Teahen and Martinez threw out pinch-runner Angel Berroa to complete a double play to end the seventh.
Only one Royals runner reached second base. Mike Sweeney opened the second inning with an infield single and moved up on Emil Brown's one-out single. But Sabathia got John Buck to fly to center and struck out Ryan Shealy to end the threat.
Gutierrez, called up from Triple-A Buffalo on Thursday, hit a 1-1 pitch over the wall in left-center for his second career homer. His first came against the Royals last Aug. 13.
De La Rosa lost his third straight start. He had given up 14 runs over 9 1-3 innings in back-to-back defeats, to the Indians on May 24 and Baltimore five days later.
The Indians wore blue uniform tops. A team spokesman said it was the first time Cleveland wore blue at home since 2001. ... Indians 3B Casey Blake extended his hitting streak to 14 games with an eighth-inning single. ... The Royals are 38-60 at Jacobs Field since it opened in 1994.