ANAHEIM, Calif. -- The Los Angeles Angels did all of their damage early and a strong effort by the bullpen made it stand up in a 5-4 win over the Minnesota Twins on Tuesday night at Angel Stadium.

The Angels had six hits in the first two innings and 10 hits through five, all of them coming against former Angels pitcher Ervin Santana. Johnny Giavotella and Kole Calhoun both homered for L.A., but the Twins kept it close with early runs against Angels starter Jhoulys Chacin.

Five Angels relievers, however, shut out the Twins over the final four innings to lift the Angels to just their second win in their last nine games. Huston Street got the final three outs for his seventh save, his first since June 5.

The Angels finished with 12 hits, including two each from Giavotella, Calhoun, Yunel Escobar, Jefry Marte and Gregorio Petit. Robbie Grossman, Joe Mauer and Juan Centeno had two hits apiece for the Twins.

Chacin (2-2) gave up four runs on seven hits and one walk in five innings to get the win over Santana (1-7), who allowed five runs on 10 hits in five innings.

The Angels had the makings of a big inning in the first against Santana after Yunel Escobar led off with a single and went to third on a one-out double by Mike Trout.

Albert Pujols followed with a single to center to score Escobar, but Trout was thrown out at the plate by Byron Buxton with a perfect one-hop throw to catcher Juan Centeno, who applied the tag.

The Twins tied the score at 1 in the top of the second on an RBI single by Centeno, but the Angels regained the lead in the bottom of the inning on a two-run homer by Johnny Giavotella.

For Giavotella, it was his sixth hit in his last six plate appearances, following a 4-for-4 game on Monday and a double in his final at-bat in Sunday's game.

Trevor Plouffe got the Twins within 3-2 with an RBI single in the third, but the Angels went deep again against Santana in the bottom of the inning. Kole Calhoun's homer put the Angels up 4-2.

The Twins kept the pressure on Santiago in the fifth, getting an RBI triple from Jose Mauer to make it 4-3. The Angels' Jefry Marte, getting his first career start in left field at any level, took his first few steps in on Mauer's liner, then retreated as the ball sailed over his head.

Santana gave up two more hits in the bottom of the fifth, including a double by Gregorio Petit and an RBI double by Calhoun that pushed the Angels' lead to 5-3.

NOTES: Angels SS Andrelton Simmons, out since May 9 because of a torn ligament in his left thumb that required surgery, is expected to be activated from the disabled list on Wednesday. In Simmons' absence, the Angels started Gregorio Petit, Cliff Pennington and Brendan Ryan, losing 19 of 33 games. ... Since joining the Twins on May 20, OF Robbie Grossman leads the club in walks (20), doubles (8), RBIs (15), average (.325), on-base percentage (.464) and slugging percentage (.623). ... Twins DH Byung Ho Park was not in the starting lineup, replaced by Oswaldo Arcia. Park has slumped this month, hitting .179 (7 for 39) with two RBIs and 15 strikeouts. ... Angels 1B/3B Jefry Marte got his first start -- at any level -- in left field. Manager Mike Scioscia said Marte, who played left field in the late innings on Monday, would be able to handle the position because of his athleticism and wanted to get him in the lineup because of his bat. Marte began the night with three homers in his previous five starts.