The Hamiltons released a statement saying they had been approached by Casey Affleck and Thunder Road Pictures to have a feature film created about their lives.
The statement said the Hamiltons are not involved with the actual Hollywood pitching process, but will be "an integral part of the film's creative direction and accuracy as the project develops."
The story was first reported by deadline.com, which said Hamilton had entrusted the rights to producer Basil Iwanyk and Thunder Road Pictures, and that the film would be written and directed by Casey Affleck, younger brother of Ben. Thunder Road's Kent Kubena will be the executive producer, according to the site.
Hamilton's story has been well-chronicled. He was the top pick of the Tampa Bay Rays in 1999, but addiction to drugs and alcohol stalled his career. He fought his way back and made it to the big leagues in 2007 with the Cincinnati Reds.
The Rangers acquired Hamilton in a trade prior to the 2008 season, sending RHP Edinson Volquez and LHP Danny Ray Herrera to the Reds. Hamilton had a hot start and his story spread nationally after he put on an impressive display in the Home Run Derby at the 2008 All-Star Game at Yankee Stadium. He was the AL MVP in 2010 and has helped lead the Rangers to consecutive American League titles.
Hamilton also has had off-the-field issues with two documented instances of alcohol use in January 2009 and most recently, prior to spring training this season.
Hamilton is hitting .330 with 22 homers and 62 RBIs in 60 games this season. He was the AL player of the month in April and May.
He is in the final year of his contract with the Rangers.