Court documents seen on Tuesday said the trustee, New York lawyer Irving Picard, had made the request with the consent of other civil and criminal investigators as part of efforts to recover assets for Madoff's customers.

Madoff, a once-respected Wall Street trader and investment manager, was arrested and charged with fraud on December 11 after authorities said he confessed to running a $50 billion Ponzi scheme over many years. He is the only person charged in the purported scheme, in which early investors are paid with the money of new clients.

The document filed in U.S. District Court in Manhattan said Picard was seeking control of Bernard L. Madoff Investment Securities LLC (BLMIS) and Primex Holdings LLC "and any membership or ownership interest therein." Primex was a digital trading firm that operated out of Madoff's New York headquarters in what is known as the "Lipstick Building."

The trustee said he wanted Madoff to voluntarily hand over "all of his rights, title and interests" to the firms, property and other assets he listed.

The filing comes after a U.S. judge on Monday partially lifted a freeze on assets of Madoff and his wife Ruth Madoff so he can cooperate with Picard. On Monday, lawyers for Ruth Madoff asserted that her $7 million Manhattan apartment and $62 million in accounts were unrelated to the purported fraud.