The 42-year-old former "Beverly Hills 90210" actor requested that Fox, 29, the mother of his sons Noah, two, and Bodhi, 19 months, continue to support him financially, reported TMZ.
Green has been unable to work because of vertigo, which affects his balance, sustained as a result of the car crash he and Fox were involved in last December.
The actress filed for divorce last month, citing "irreconcilable differences", and is seeking joint physical and legal custody of their two sons.