The Crown Prosecution Service (CPS) said that it will “carefully consider” the file of evidence passed on by South Yorkshire Police.
The 75-year-old star, who denies any wrongdoing, has seen his Berkshire home raided and has spoken to police twice.
A CPS spokesman said: “We have received a full file of evidence from South Yorkshire Police. We will now carefully consider its contents in line with the Code for Crown Prosecutors, in order to establish whether there is sufficient evidence to provide a realistic prospect of conviction, and whether it is in the public interest to do so.”
Richard has always strenuously denied any wrongdoing, and has not been arrested or charged.
Antony Stansfield, the Police and Crime Commissioner for Thames Valley, said earlier this year the length of time the entertainer has been left in the dark over the claims of abuse was “unacceptable”.
Controversy erupted when a raid on his home in Berkshire in August 2014 was broadcast on live TV after an agreement was forged between the BBC and South Yorkshire Police.
A report commissioned by the county’s former police and crime commissioner later found that the move “certainly interfered with his privacy and may well have caused unnecessary distress”.
Last year, the star’s representatives attacked the Home Affairs Select Committee for publishing a letter from Chief Constable David Crompton that revealed the police inquiry had increased “significantly” and involved more than one allegation.
Richard’s lawyers claimed the disclosure caused him a “further round of unnecessary and extremely damaging media coverage”.
The investigation began after a man claimed the singer groped him in 1985 at a Christian rally when he was a child.