Lawyers submitted the application Wednesday in Palm Beach County. The state of Florida does not agree with the application.
In the motion, the lawyers called on the court to issue a protective order to ensure the confidentiality of the materials confiscated from the Orchids of Asia Day Spa in Jupiter, and "in particular, the videos until further orders of the court."
CNN turned to Kraft's lawyer, but heard nothing.
The information stems from the day a source familiar with the case told CNN that Kraft would not accept a lawsuit filed by prosecutors in this case.
The prosecution has offered to lift the charges against Kraft and 24 other men for fines, community service, and permission to plead guilty if the case goes to court, according to Palm Beach Public Prosecutor Mike Edmonson Office.
Edmondson called the offer a standard for first-time offenders. He said that none of the offers had been accepted on Wednesday morning.
More than 1
00 people who were associated with suspicious spas
Police said Kraft has visited the Orchids of Asia Day Spa twice. Footage showed he received "paid deeds" in a room at the spa, and surveillance videos show he was taken to the spa, police chief Daniel Kerr said last month.
Kraft, who denied by a spokesman that he has committed a crime, was charged with two charges. "We categorically deny that Mr. Kraft was involved in illegal activities," said his spokesman.
The charges are second-degree offenses and are generally sentenced to 60 days in the county jail, according to Edmondson.
On March 28, force is to be sued. Jason Carroll
CNN, Kevin Conlon and Ray Sanchez have contributed to this report.