Ricardo Fuller’s penalty cancelled out Marlon King’s first-half strike at a very foggy Britannia Stadium.
Stoke showed the greater early ambition but could only manage tame efforts from Fuller and Mamade Sidibe.
Hull took the lead with their first shot, King putting the ball in the top corner from eight yards.
Boaz Myhill saved a Fuller header but brought down the striker later in the game, the Jamaican stroking home the spot-kick to salvage a draw.
It was a fair scoreline as neither side were able to exert their authority on the game or create many chances.
For a while, it seemed the match might be more notable for Hull’s novel approach to coping with Rory Delap’s long throw-ins.
When he geared up to launch the ball into the box, Hull substitute Dean Windass deliberately ran down the touchline and started warming up next to him, hoping to be an unwelcome distraction.
The second time Windass tried the tactic, he was booked by the referee.