A largely uninspiring match was decided more by poor goalkeeping than moments of brilliance from either side but Steve Bruce will be pleased his side was able to doggedly hold on after seeing Brighton stage something of a comeback in the second half.
Brighton were looking to get Leo Ulloa on the ball early but Hull gradually started to get on top in the opening 10 minutes.
And Curtis Davies gave the home side a scrappy lead when he got between two Brighton defenders at a corner and sent a looping header past a flailing Peter Brezovan in the Seagulls goal in the 14th minute.
Neither side showed much enterprise after the goal and it took until the 36th minute before Hull extended their lead when Robert Koren’s free kick took a deflection off Keith Andrews and dropped over the line past the helpless Brezovan.
Poor goalkeeping helped decide the tie in Hull’s favour
Some 300 Brighton fans made the trip north to support their team and while they had very little to cheer about in the opening period, but Oscar Garcia sent his side out with renewed resolve in the second half.
Garcia brought on Kazeng LuaLua for David Rodriguez at half-time and the winger helped to inject more energy into the visitors efforts.
And Ulloa, who had been almost anonymous throughout, gave Brighton hope in the 69th minute by nodding a David Lopez free-kick past Steve Harper in the Hull goal to make it 2-1.
Brighton sensed a comeback was on the cards but were reduced to long-range efforts and never really threatened to send the game to extra time.
Steve Bruce will now face former side Sunderland in the sixth round on the weekend on 8/9 March as they edge closer to Wembley.
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