Instagram messages containing vile racist and sectarian slurs were shared by the Irish international this morning with the 29-year-old writing “There’s abuse which is fine but surely there’s a limit.”
A Parkhead spokesman has condemned the comments and urged action against the perpetrator, saying the club will support Duffy who is currently on loan at Celtic from Brighton and Hove Albion.
"It is disgraceful that Shane should be targeted in this way through such sickening sectarian abuse - and mocking the death of Shane’s father is quite simply despicable,” the club official said.
"This is mindless, vile and abhorrent behaviour and must be challenged and condemned.
"“Everything should be done to identify those responsible and the strongest action must be taken.
"Shane of course will receive the full support of everyone at Celtic."
The 29-year-old’s father Brian died last year aged 53.