Midfielder Marcus Browning became the third Bournemouth player to keep goal in the space of seven days after Chris Tardif had become the latest victim of the Dean Court keeper hoodoo.
Tardif, on loan from first division leaders Portsmouth, was stretchered off with a head injury after 16 minutes following a collision with Hull striker Phil Jevons forcing Browning into goal.
Tardif was only starting because first-choice goalkeeper Gareth Stewart broke his leg during the 3-2 FA Cup win over Southend on Tuesday and after on-loan Southampton goalkeeper Neil Moss had been sent back to St Mary's.
Bournemouth winger Danny Thomas missed the game’s best chance after just two minutes when with only keeper Paul Musselwhite to beat he shot straight at the former Portsmouth and Port Vale star from eight yards out.
Hull's best effort in the first half came on 38 minutes when Stuart Green chipped over from 30 yards, but it was not until six minutes from time when Peter Taylor's Tigers really looked liked scoring, when Northern Ireland midfielder Stuart Elliott headed into the sidenetting from close range.
Bournemouth manager Sean O'Driscoll afterwards praised his team of battlers: "I thought the whole team were fantastic.
"It was difficult having lost Chris so early, but I still thought we were the most likely and maybe I am a little disappointed that we did not win the game."Hull boss Taylor added: "I am disappointed we did not put their keeper under more pressure, but I have got a good bunch of lads here and I know we can put things right over a busy Christmas period."