West Brom had beaten Leicester City and Burnley in their last two matches and started brightly, with James Morrison's effort being deflected wide before Darren Fletcher headed Matty Phillips' cross over the bar.
Hull struggled to create anything in the opening exchanges of a scrappy match and Baggies striker Salomon Rondon only just failed to get on the end of Chris Brunt's cross before Morrison's ambitious effort flew wide.
Tony Pulis' team finally got the goal their dominance deserved in the 34th minute when Gareth McAuley heads a Phillips cross home, and they almost scored again just before the interval when Craig Dawson headed over the bar.
The Tigers improved at the start of the second half and Dieumerci Mbokani almost equalised before Robert Snodgrass forced Ben Foster to make his first save of the match in the 50th minute, while Jake Livermore lashed an effort over the bar.
Phelan's side were transformed following their poor first-half display and Livermore forced Foster to make a routine stop after a fine move by the home team.
Albion appeared to have weathered the storm but in the 72nd minute Snodgrass fired in a deep free-kick which Mbokani knocked down and the veteran former Tottenham defender Dawson turned the ball home at the near post.
The visitors almost grabbed a stoppage-time winner when substitute James McClean's pinpoint cross was headed wide by Rondon when the Venezuelan striker seemed certain to score, but a draw was probably a fair result.