He pitched in Major League Baseball (MLB) for the New York Yankees and Boston Red Sox.

[2] Feeling that he had developed well in the Mexican League, the Yankees purchased Aceves, along with Manny Banuelos and two other players, for $450,000 during the 2007–08 offseason.

[5] After pitching effectively through his first few relief appearances, Aceves was moved to the rotation in replacement of Darrell Rasner.

[8] Due to his ability to pitch effectively in any situation, Aceves has drawn comparisons to former Yankee reliever and spot starter Ramiro Mendoza.

[9] Aceves made ten relief appearances in 2010 before succumbing to a strained lower back that ended his season.

[11] Aceves was signed to a major league deal by the Boston Red Sox on 8 February 2011.

[12] On 21 April, he was optioned to the Triple-A Pawtucket Red Sox to make room for Matt Albers on the roster.

After an injury to Andrew Bailey, Aceves was named the acting closer for the beginning of the 2012 season,[15] but had a slow start, surrendering the game-winning hit on Opening Day and allowing a game-tying home run in the ninth inning of the third game of the season.

[16] After five games in 2013, which included three starts, Aceves was optioned to Triple-A Pawtucket on 25 April two days after giving away eight runs in 3+1⁄3 innings against the Oakland Athletics.

[24] Aceves took a short break from 2014 Spring training to return to Mexico to obtain a work visa.

[32] Aceves signed a minor league deal with the San Francisco Giants on 7 March 2015.

Aceves married his wife Arley in November 2008, after proposing to her during a Trenton Thunder game during the 2008 season.