His arrest comes days after a man was caught in Rio with 800 illegal tickets, BBC reported.
Police say Mr Hickey, who also heads the Olympic Council of Ireland (OCI), tried to escape when they came for him.
They say he slid his Olympic pass under the door when police came knocking and fled into the adjacent hotel room, where his son had been staying until recently.
Mr Hickey is said to be ill now and he is receiving medical attention after being arrested, according to reports
Brazilian media believe Mr Hickey’s arrest is related to that of fellow Irishman Kevin James Mallon on the day of the opening ceremony.