South Western magistrates' court was told that White confronted a photographer taking pictures for an advertisement outside Harvey's, his restaurant in Wandsworth, south London.
The court was told that the incident happened on 10 February. White said that he was not happy about the pictures being taken. He grabbed the camera and threw it to the ground.
Questioned later by police, White said that the damage had been caused accidentally.
White, 31, of Knightsbridge, west London, who did not attend the hearing, admitted a charge of causing criminal damage. He was fined pounds 500 and ordered to pay pounds 867 in compensation, with pounds 100 costs.
Simon Mayo, for White, said that prior to the incident his client had been 'pestered' by the media because of the break-up of his marriage.
Mr Mayo said that White had wanted to take the film from the camera. 'He accepts that in his attempt to remove the film the camera was damaged and he was responsible. That was reckless.'