Sir Mick Jagger claimed police tried to plant "white powder" on him during a drugs bust in 1969, according to secret files just released.
Sir Mick Jagger was knighted in 2002
The files show Scotland Yard dismissed the claims, saying the Rolling Stones frontman was caught up in "the world of users of dangerous drugs".
Sir Mick's allegations followed a police raid on his Chelsea home in May 1969, where cannabis was found.
The papers have been released by the National Archives at Kew, west London.
Sir Mick's home was raided by the local drugs squad, headed by Detective Sergeant Robin Constable.
The files revealed that Sir Mick made a statement to the police some weeks after the raid, alleging Mr Constable had tried to plant the "white powder" - apparently heroin - in a piece of folded up paper he produced from a box in the house.
"I think he put the box down and opened the folded paper. He said 'Ah, ah, 'we won't have to look much further'," he said.
"As I got to him he showed me the paper and I saw it contained some white powder."
The claim that Mr Constable tried to plant drugs and then attempted to solicit a £1,000 bribe went on to form the basis of the singer's defence when he was charged with cannabis possession at Marlborough Street Magistrates Court.
He was later found guilty and fined £200 and ordered to pay 50 guineas in costs.
Marianne Faithfull was at Jagger's home during the bust
However, Sir Mick's claims were investigated and after interviewing all those involved, the Yard's investigating officer, Detective Chief Inspector William Wilson, said that the claims came down to Sir Mick's word against Mr Constable's.
"Michael Jagger is an intelligent young man, and doubtless is on the fringe, if not embroiled in the world of users of dangerous drugs," he noted.
Mr Wilson also said he "would not be prepared to place any reliance at all" on Sir Mick's girlfriend, Marianne Faithfull, who had also been in the flat at the time of the police raid.
In contrast, Mr Constable was described as a "hard working and competent police officer".