Snipes sued last month to invalidate an arrest warrant issued by a New York Family Court judge more than a year ago but never acted on by police, E! Online reported Thursday.
The federal judge threw out Snipes' complaint and directed him to pursue his lawsuit in a state court.
Indiana resident Lanise Pettis, 33, filed a paternity suit claiming Snipes fathered her son in 2000 after a romp in a Chicago crackhouse. Snipes' lawyer, Robert Bernhoft, says Pettis is a delusional former crack addict with a history of making "fantastical" claims.
Snipes' lawsuit alleged Pettis has made similar claims involving Prince, Oprah Winfrey and former President Bill Clinton. But Pettis says she has known Snipes all her life and wants a court to find he is the father of her son.