Rovers substitute Nikola Kalinic had the best chance of the game in the second half as he pounced on a loose ball inside the six-yard box and fired in a first-time shot, but the Croatia striker could only send ball agonisingly wide of the post.
Blackburn had a chance early on as a Richard Garcia foul on Junior Holliet allowed Benni McCarthy to try his luck from a close range free-kick, but his blasted right-footed effort flew well over the Hull crossbar.
Craig Fagan then had a great chance for the home side as George Boateng found the ex-Derby man completely free with a neat throughball, but the striker failed to capitalise as keeper Paul Robinson cleverly turned away his low right-footed effort.
Vince Grella then came close for Blackburn but his first-time right-footed effort curled up and over the bar from 18 yards.
Geovanni tried his luck for Hull towards the end of the half but his arrowed right-footed volley was comfortably saved by Robinson.
Hull midfielder Stephen Hunt was presented a chance minutes before the break but his cross-cum-shot from the left side of the box was well collected by Robinson.
Blackburn's Franco di Santo had a chance early in the second half but his speculative half-volley was easily saved by Hull keeper Boaz Myhill.
Boateng then found space for a shot at the other end of the pitch but his low left-footed drive was well saved by Robinson.
Garcia created a chance for himself on the hour mark as he cut inside the Blackburn defence, but his left-footed shot lacked any real power and allowed Robinson to make a comfortable save.
Kalinic found himself with a great chance moments later but he could only fire his left-footed shot into the side netting from 12 yards.
Kalinic then came within inches of putting the visitors in the lead but his first-time effort from close range trickled just past Myhill's right-hand post.
Hull substitute Jan Vennegoor of Hesselink nearly made an immediate impact with ten minutes left on the clock but his header from eight yards flew wide of the post.