Owner Arte Moreno decided to stand pat at the top of the Angels organization for at least one more season.
Scioscia, who just completed his 14th season at the helm of the Halos, is the longest tenured manager in the majors and still has five years left on the richest managerial contract in the majors.
''This is where I want to be, and I want to get things going in the direction they should be,'' Scioscia said. ''I'm happy to get another opportunity to do that.''
DiPoto just finished his second year as Angels GM after being hired in November 2011 to replace Tony Reagins, who was fired after two years out of the playoffs and a losing record in the 2011 season.
His tenure has been marked by the signings of Albert Pujols, C.J. Wilson and Josh Hamilton. However, DiPoto also has the signings of Joe Blanton and Ryan Madson and trades involving Zack Greinke and Tommy Hanson as black marks.
''You know we had a very difficult season,'' DiPoto said. ''We had issues to deal with both on and off the field. ... As a whole, we're looking to improve in all areas, and one of the things we're trying to do is implement the same on-field excellence the Angels had from 2002 to 2009.''
However, the offseason did claim two members of Scioscia's staff, as bench coach Rob Picciolo and hitting coach Jim Eppard were fired after the club finished under .500 for the second time in three seasons and missed the playoffs for the fourth consecutive year after reaching the American League Championship Series in 2009.
Picciolo, who played for the Angels in the 1984 season, spent the last three seasons in the bench coach position after Ron Roenicke left the club to become the manager of the Milwaukee Brewers. Scioscia said that third-base coach Dino Ebel will become the bench coach next season.
Eppard was in his first full season in the job as the hitting coach after taking over two months into the 2012 season following the ouster of longtime hitting coach Mickey Hatcher. The 53-year-old spent three of his four seasons as a player with the Angels and was the minor league hitting instructor for the organization before taking over as hitting coach.
The move of Ebel to the bench means that the Angels will be searching for a hitting coach and a third-base coach, though there are no early candidates for either position as of now.
Neither Scioscia nor DiPoto answered questions from reporters on whether or not Moreno had issued an ultimatum to them.
''Arte is as frustrated as we are with where we were and where we ended up, and where we've been,'' Scioscia said. ''He's frustrated, but very supportive and understanding that he has confidence in us that we're going to turn it around and get to reach our goal.''
The Halos have a myriad of holes to address on a roster that went 78-84 in 2013, chief of which is shoring up a pitching staff that struggled all season and dealt with injuries to Jered Weaver, Jason Vargas, Hanson and Sean Burnett during the year.
They also need to address third base after trading away Alberto Callaspo and figure out where Mark Trumbo, who has led the club in home runs the last three seasons, will fit in with Pujols returning to full health after dealing with plantar fasciatis all year, Hamilton trying to rebound from a rough season and the emergence of Kole Calhoun as a solid option to play right field every day.