The filing comes days after Odom pleaded no contest on Monday to a misdemeanor drunken driving charge.
The 34-year-old athlete was arrested last August after his Mercedes-Benz SUV was seen weaving on an LA freeway.
He seemed to address rumors of personal problems when he tweeted a cryptic message in September, saying he had been “Seeing the Snakes.”
Only the Kardashian family, Odom said then, was standing by him.
The 6-foot-10-inch power forward has been out of the NBA since going unsigned as a free agent after a miserable season last year.
Odom last played for the Los Angeles Clippers during the 2012-13 season, averaging a career-low 4.0 points and 5.9 rebounds. Clippers coach Doc Rivers met with him last month, but apparently nothing came of those talks.
He had his best years with the Los Angeles Lakers between 2004 and 2011. The team won NBA championships in 2010 and 2011 and Odom won the NBA’s sixth man award during that second championship run.