The left-back has put pen to paper on a three-year deal with Wanderers and becomes the Sky Bet Championship club's seventh new arrival this summer.
The switch sees Moxey reunited with manager Dougie Freedman, who took him to Palace in January 2011 when he was in charge of the Eagles.
A product of Exeter's youth system, Moxey turned professional with the Grecians in 2003 and went on to spend six successful years at St James Park before joining Derby in the summer of 2009.
A move to Palace followed, with the full-back going on to spend three-and-a-half years at Selhurst Park before the conclusion of his contract this summer.
The 28-year-old played 103 games for Palace, including 20 Barclays Premier League appearances last season after helping the club into the top flight in 2013.
Bolton were without a recognised left-back for much of last season after Marc Tierney suffered a broken foot in the opening weeks of the campaign.