Kevin Youkilis, Adrian Beltre and Bill Hall each hit solo homers for the Red Sox, who have won five of their last seven. Josh Beckett (2-1) went seven innings in the start and was charged with three runs on five hits with a walk and five strikeouts.
"I had to manifest some energy today," said Beckett. "I felt better today than last time out. I did some good things and made some good adjustments. The most important thing is for our team to win now."
The team suffered a blow before the game started as pitcher Joel Pineiro strained a muscle in his left side while warming up and will miss the next 6- to-8 weeks. Scot Shields started in Pineiro's place and was charged with two runs over 1 2/3 innings. Fernando Rodney (4-1) got the loss for giving up the grand slam.
"Halfway through my warmup I threw a curveball and it felt like a cramp," said Pineiro. "Just a freak thing to happen, I can't explain it. It's really frustrating and when I heard how long I'll be out my heart sunk to the ground."
With the score tied in the eighth, Boston went ahead. Rodney started on the mound and promptly loaded the bases on a pair of walks and a bunt single. Scutaro then stepped to the plate and smacked a 1-2 pitch just inside the left field pole for a 7-3 lead.
"After two strikes I was just trying to see the ball and I got a changeup," said Scutaro. "I got lucky today."
With two outs in the bottom of the eighth, Alberto Callaspo doubled and Bobby Abreu followed with a walk. Juan Rivera then lofted a soft blooper to shallow center that appeared to be over the head of Hall, but he was able to make a diving catch to preserve the four-run lead.
Ramon Ramirez then set the Angels down in order in the ninth to close the win.
Boston jumped on top in the second as Beltre clubbed a solo homer and, two batters later, Hall smacked a solo shot for a 2-0 lead.
The Angels, though, tied the game in the bottom of the frame on back-to-back RBI singles from Wilson and Willits.
Anaheim went ahead in the fifth as Willits led off with a double, moved to third on a sacrifice bunt from Erick Aybar and came home on a sac fly off the bat of Izturis for a 3-2 lead.
Boston did tie the game in the seventh when Youkilis led off the frame with a blast over the left field wall.
Boston returns home to face Detroit for three games starting on Friday...The Angels host Texas for three games beginning Friday...The Red Sox are 15-9 versus the AL West this season...Boston has won all seven games against the Angels this season...Scutaro has two grand slams in his career...The Angels had not been swept at home in 79 series prior to this series. It was the longest active stretch in the majors...Boston's last sweep on the road against the Angels was July 31-August 2, 1998.