A nightmare first half for Eliaquim Mangala gave the hosts a chance to pick up a shock point, but Manuel Pellegrini's side proved too strong for the KC Stadium outfit
Manuel Pellegrini's side raced into a two-goal lead in the early stages of the game as Sergio Aguero struck before Edin Dzeko bagged his first of the afternoon.
But Eliaquim Mangala's own goal gifted Hull a lifeline and Steve Bruce's side were level before the interval, after the France centre-back brought down Abel Hernandez in the box for the Uruguayan striker to equalise from the penalty spot.
Dzeko grabbed his second in the 68th minute, and Lampard wrapped up the win late on to continue a prolific run of form.
Manuel Pellegrini made good on his midweek pledge to give Willy Caballero two games in row as the goalkeeper kept his place ahead of Joe Hart following Wednesday's League Cup triumph.
Pablo Zabaleta returned at right-back after a red card against Chelsea, while Gael Clichy replaced Aleksandar Kolarov.
Liam Rosenior came in for Stephen Quinn in the only change from Hull's last league outing at Newcastle, allowing Ahmed Elmohamady to revert to his favoured right-wing position.
Aguero sped past Hull centre-back Michael Dawson inside 40 seconds to unleash a fierce shot that was beaten away by Allan McGregor at his near post.
Hull should have led in the sixth minute as Nikica Jelavic, played onside by Zabaleta and with plenty of room inside the penalty area, failed to make contact with Jake Livermore's measured cross.
Hull were made to pay almost immediately. James Milner's right-wing cross was only partially cleared and Zabaleta was alert to nod towards Aguero, who rifled home on the turn.
And it was soon 2-0, as Dzeko ghosted past Rosenior and curled a sumptuous 20-yard strike into the top corner.
Pellegrini's side appeared in rampant mood, but Hull had a lifeline in the 21st minute when Rosenior raced around the outside of Clichy and a poorly positioned Mangala headed the full-back's delivery beyond Caballero.
Dawson continued to endure a testing afternoon at Aguero's expense, the Argentina striker darting beyond his man once more to shoot narrowly wide.
But Hull were now in the ascendancy and Mangala had another moment to forget as he plunged a boot into Hernandez in the area, allowing the Uruguay striker to pick himself up and convert the resulting penalty after 32 minutes.
Hernandez and Dzeko both missed headers as a pulsating half reached its conclusion, with the visitors unquestionably happier to hear the whistle.
Caballero saved unconvincingly from Tom Huddlestone's early second half drive before Mangala recovered his poise to deny Nikica Jelavic with a vital challenge.
Yaya Toure produced a nondescript opening period, but came to life to send a scorching 30-yard strike smashing into the post after 50 minutes.
Pellegrini replaced Fernandinho with Jesus Navas in the 66th minutes, allowing David Silva to operate in an advanced central position, and it was a move which paid dividends three minutes later when the playmaker found Dzeko, who slotted a left-footed finish past McGregor's despairing dive.
Caballero repaid his manager's faith with a sharp 86th-minute stop from Jelavic.
And a minute later, Lampard continued a familiar purple patch in front of goal to make it 4-2 after fine work from Zabaleta, leaving Hull still without a Premier League win since the opening day.