The families of the two men, Ken Cresswell and John Shaw, have been informed and are being supported by specially trained Thames Valley Police officers.
Contractor Brown & Mason paused the removal of debris so that specialists from Thames Valley Police, Fire and Rescue’s Urban Search and Rescue and the South Central Ambulance Service Hazardous Area Recovery Team could enter the site.
The person has not yet been formally identified and this will be a matter for the coroner.
“Our thoughts remain with the families of Ken Cresswell and John Shaw and we would ask that their privacy is respected during this incredibly difficult time,” the police statement said.
The 10-storey concrete and steel boiler house building collapsed unexpectedly on 23 February killing four demolition workers employed by Coleman & Co.
Until now only the bodies of two of the victims – those of Michael Collings, 53 and Chris Huxtable, 34 had been recovered.