Victor Zambrano pitched eight strong innings, David Wright drove in three runs, and the Mets finished a three-game sweep of the Chicago Cubs with a 6-1 victory last night.

Cliff Floyd hit his 26th homer for the Mets, who won for the 10th time in 13 home games and handed Chicago its fifth consecutive loss. The Cubs, who lost starter Carlos Zambrano to an early back injury, have dropped nine of 12 and are fading in the NL wild-card race.

Carlos Beltran scored three times for New York, while Floyd had three hits and reached safely all four times up. Jose Reyes extended his hitting streak to a career-best 20 games, the longest current run in the majors.

The Mets outscored the Cubs 17-6 in the series and have scored 48 runs in their past seven games.

Chicago made two errors and allowed three unearned runs, leaving manager Dusty Baker scratching his head in the dugout. The Cubs went 0-6 in New York this season – they also were swept by the Yankees during interleague play in June.

“New York hasn’t been too good to us,” Baker said before the game. “It hasn’t been too good to a lot of people.”

Victor Zambrano (6-9) was roughed up in his last start against Milwaukee, when he gave up four homers and six runs in 1 1/3 innings. But the only run he allowed this time came on consecutive doubles by Michael Barrett and Jose Macias in the eighth.

The right-hander gave up five hits and walked two. His only major league complete game was a nine-hitter on September 7, 2003, with Tampa Bay against Oakland.

Aaron Heilman came on in the ninth to finish the six-hitter.

Carlos Zambrano (8-5) left after three innings and 80 pitches because of tightness in his lower back. He gave up two earned runs and four hits and departed trailing 4-0.

An All-Star last season, the 24-year-old right-hander won his previous four decisions and had lasted at least seven innings in his past seven starts.

Beltran reached on third baseman Aramis Ramirez’s two-out throwing error in the first. Running on a 3-2 pitch, Beltran scored all the way from first base when Floyd grounded a single to right center through an over shifted infield.

Wright followed with an RBI single. He also had a bases-loaded sacrifice fly in the third, and Mike Piazza’s two-out single made it 4-0.

Beltran singled and scored on Wright’s RBI groundout in the fifth. Floyd connected for this 26th homer in the seventh against Roberto Novoa, setting off fireworks.

Mets Notes: It was the seventh time in Mets history that opposing starting pitchers had the same last name, and five have come against the Cubs. Three of the seven included New York lefty Al Jackson in the 1960s. … Reyes’s hitting streak matched Floyd for the longest by a Mets player this year. … New York finished 4-2 on its homestand and heads to San Diego for a three-game series beginning tomorrow night.