Caleb Folan's second-half header earned Hull a draw at the Britannia Stadium.
Hull started well with Bryan Hughes having an overhead kick saved but Stoke went ahead after Leon Cort glanced home from Rory Delap's delivery.
Visiting goalkeeper Boaz Myhill saved superbly to deny Jon Parkin before Hull equalised when Dean Windass' cross was converted by Folan on 61 minutes.
And Windass came close to taking all three points but his close-range header hit the crossbar.
Stoke manager Tony Pulis on Ricardo Fuller's absence to attend the funeral of his grandmother:
"We missed Ric badly but family is much more important than football.
"I'm sure everyone understands. We don't know if he'll be back for our Cup game against Newcastle on Sunday.
"Hull played really well but it was a funny game because our keeper has not really had a save to make."
Hull boss Phil Brown:
"We are very pleased to remain unbeaten over the Christmas period and we should have ended it with a win.
"I'm disappointed to come away with a point and I think Tony Pulis will be happy with a point.
"The stats showed we had 32 crosses to Stoke's nine and 14 shots to their seven. That is very impressive for an away side."
Stoke: Simonsen, Wright (Zakuani 83), Shawcross, Cort, Pugh, Lawrence, Delap, Eustace, Cresswell, Sidibe (Dickinson 66), Parkin (Pericard 77).
Subs Not Used: Pulis, Phillips.
Goals: Cort 33.
Hull: Myhill, Ricketts, Turner, Brown, Dawson, Garcia, Ashbee, Livermore, Hughes (Elliott 82), Folan, Windass (Barmby 73).
Subs Not Used: Duke, Delaney, Marney.
Goals: Folan 61.
Ref: Neil Swarbrick (Lancashire).