The former Liverpool striker opened the scoring early in the second period before Morgan Amalfitano and Stewart Downing made the points safe for the Irons
Strugglers Hull, without six first-team regulars through injury, tried to capitalise on any nerves born from a winless league run for the Irons that had stretched to four matches before Sunday's contest and the Yorkshire side arguably edged the first half.
However, West Ham were much improved after the restart and in-form striker Andy Carroll tapped home his fifth Premier League goal of the season shortly after the break.
Substitute Morgan Amalfitano made it 2-0 with a clever dink and Stewart Downing added further gloss with a composed finish in the 72nd minute.
Victory for West Ham lifted Sam Allardyce's men to seventh place, while Hull returned north still in the relegation zone.
|VIEW FROM UPTON PARK
|By Liam Twomey
It took 45 minutes for West Ham to shake off the mental and physical fatigue of their midweek FA Cup exertions against Everton but once they did, Sam Allardyce's men showed just why they are surprise fringe contenders for a top-four place this season.
Perceived by many as one-dimensional last season, there is a nice variety to West Ham's attacking options this season, and after the physicality and opportunism of Andy Carroll had yielded the opening goal early in the second half, their pace and class on the counter-attack shone through against a Hull City side trying above all else to avoid defeat, and failing miserably at it.
Steve Bruce's men had the brightest moments of an utterly turgid first half but once West Ham forged ahead, there was never a sense that the momentum could shift again. Adrian did not have a save to make and the fact that Gaston Ramirez and Tom Ince did not even get onto the pitch is surely an indictment of manager as well as players.
Hull remain mired in relegation trouble and, on this evidence, that is where they will stay.
West Ham, who made just one change to the XI that drew 1-1 with Swansea City in their last Premier League match, grew into the game and James Tomkins headed over inside the six-yard box under pressure from Hull goalkeeper Allan McGregor.
At the other end, Aluko, who returned to the starting XI in one of three Hull changes from last weekend's 1-0 loss at West Brom, continued to torment the West Ham defence, but he was twice guilty of over playing when he had the chance to shoot.
The hosts finished the half strong. Enner Valencia looped a header onto the crossbar and, when Downing returned the ball into the area, McGregor was on hand to make a smart low save from Tomkins' header.
Hull were then dealt a blow in stoppage time when James Chester had to be replaced by Maynor Figueroa due to an apparent shoulder injury.
Steve Bruce had to make a further change with son Alex coming off for Harry Maguire, while West Ham were also forced into a substitution as Winston Reid replaced James Collins.
West Ham had more tempo to their play after the break and that resulted in the deadlock being broken in the 49th minute.
McGregor failed to parry Valencia's 20-yard shot to safety and Carroll was quickest to react to tap in the rebound.
Hull almost gifted West Ham a second when Michael Dawson's wayward pass was latched on by Valencia, who took a first poor touch before lashing his shot into the side-netting.
There was no let-off in the 69th minute, though, as Amalfitano - who had replaced Mark Noble three minutes earlier - collected Valencia's throughball and his delicate chip beat the outstretched McGregor.
Hull's misery was compounded three minutes later. Alex Song played a defence-splitting pass that sent Downing clear and the England international kept his composure to slot his shot into the bottom right-hand corner.
West Ham continued to turn the screw in the closing stages and Kevin Nolan almost added a fourth when his fierce shot from a tight angle crashed against the crossbar.