Glitter, 82, is accused of committing the offences "over a period of time" in the late 1970s and early 1980s at a residential address in Kensington, west London.
The disgraced glam rock singer, whose real name is Paul Gadd, was questioned in prison under caution after a claim was made on January 9, 2025, The Sun reported.
Glitter is currently held at category C HMP Channings Wood, Devon, according to the newspaper.
He was jailed for 16 years in 2015 for sexually abusing three schoolgirls between 1975 and 1980. His sentence expires in 2031.
"A man in his 80s was interviewed under caution in relation to the reported offending in July 2025," The Metropolitan Police said.
"The investigation is ongoing, and the victim is currently being supported by specialist officers.
"Anyone reporting non-recent sexual offences will be listened to and supported.
"Over the past year, the Met has expanded safeguarding teams, and rolled out training on victim approach, resulting in charges more than doubling for child sexual exploitation."
Glitter was automatically released from HMP The Verne, a low-security prison in Portland, Dorset, in February 2023 after serving half of his fixed-term determinate sentence.
Less than six weeks later he was put back behind bars when police monitoring showed he had breached his licence conditions by trying to access the dark web and viewing downloaded images of children.
Glitter lost his bid to be freed from jail after a paper review – where written evidence is examined - by the Parole Board a year ago.
Parole judges review the cases of criminals who are recalled to prison to decide whether they should be re-released or stay behind bars for the rest of their sentence.
10°C