An own goal in the 20th minute from French defender Gael Givet, who turned Nicolas Anelka´s cross past goalkeeper Paul Robinson under pressure from Didier Drogba, put the Blues ahead.
England midfielder Lampard scored his first Premier League goal since April when he fired home from Drogba´s pull back before Michael Essien wrapped up the points in the 52nd minute when he beat Robinson with a curving shot from fully 35 yards out.
Lampard scored his second, and Chelsea´s fourth, from the penalty spot after Drogba was brought down seven minutes later by Rovers captain Ryan Nelsen, the New Zealand defender.
The impressive Drogba then added a fifth in the 64th minute as Chelsea made it nine goals in two matches after their midweek 4-0 Champions League defeat of Atletico Madrid.
It was an important result for the Blues after they´d lost 2-1 to Aston Villa last time out in the Premier League and Lampard told ESPN: "We were disappointed after last week. We wanted to bounce back and we did it in style."
Lampard was especially pleased by the confident return of fellow England international Joe Cole, playing his first Premier League match since suffering a knee injury against Southend in January.
"He is different class," Lampard said. "I think everyone knows what Coley brings us, he is something different, he runs with the ball and he can create something out of nothing."
Cole added: "When you´re out for 10 months just getting back on the training pitch is great so to come back to a game like that was fantastic."
Earlier, Tottenham Hotspur missed the chance to go level on points with United after losing 1-0 late on at home to Stoke City.
The match was goalless until four minutes from time when Glenn Whelan, played in by Ricardo Fuller, struck against a home team a man down with England winger Aaron Lennon off the field after the north Londoners had used all three substitutes.
Lennon took himself off and Spurs manager Harry Redknapp said: "We´re not sure what the problem is. He just said he couldn´t carry on and that was that."
Stoke boss Tony Pulis, once Redknapp´s assistant at Bournemouth, said: "Ricardo´s pulled a genie out of the bottle again. That was terrific and Glenn finished it with aplomb."
At the bottom of the table, basement club Portsmouth were held to a goalless draw by fellow strugglers Hull.
Meanwhile Birmingham beat their former manager Steve Bruce´s Sunderland side 2-1 and Colombia´s Hugo Rodallega scored twice as Wigan came from behind to end Burnley´s 100 percent home record this term in a 3-1 win.
Elsewhere, Wolves drew 1-1 with Midlands rivals Aston Villa.
Burnley took an early lead at Turf Moor when Steven Fletcher turned in Robbie Blake´s cross in the fourth minute.
But Wigan equalised in bizarre fashion seven minutes later when Burnley goalkeeper Brian Jensen slipped as he came for a Mario Melchiot cross, allowing Rodallega to shoot into the unguarded net.
Jensen went off injured moments later.
Rodallega then made it 2-1 when he turned in Jason Scotland´s 51st minute cross before Emmerson Boyce scored from a corner.
At St Andrews, in Birmingham´s first home game since Hong Kong businessman Carson Yeung bought the club, City went ahead eight minutes before half-time when Liam Ridgewell got on the end of a Sebastian Larsson free-kick.
And soon after the break Scotland striker James McFadden doubled Birmingham´s lead following good work by Larsson.
But Sunderland gave themselves a lifeline when Birmingham´s Scott Dann put through his own net eight minutes from time.
In a dire opening period at Hull´s KC Stadium, Portsmouth striker Tommy Smith squandered a couple of chances for the visitors.
After half-time, Pompey´s Aruna Dindane and Hassan Yebda were both denied by Hull goalkeeper Boaz Myhill.
It was all-square in the early kick-off at Molineux until England forward Gabriel Agbonlahor put visitors Villa ahead 11 minutes from time.
But Wolves rescued a point four minutes later through Sylvan Ebanks-Blake´s first Premier League goal, a penalty after Michael Kightly was brought down in the box.
Manchester United will end the weekend on top if they win away to arch-rivals Liverpool at Anfield on Sunday.
In Sunday´s other top-flight matches, Arsenal travel to West Ham for an all-London clash, Manchester City face Fulham and Everton make the short journey to Bolton.
SPANISH LA LIGA: Injury-ravaged Real fire blanks in Gijon
After losing to AC Milan in the Champions League in midweek, Real Madrid dropped two points in the title race with a 0-0 draw at Sporting Gijon on Saturday as they failed to score for the first time this season.
Real go top above Barcelona on goal difference but the champions, also beaten at home in Europe by Russians Rubin Kazan, can open up a three-point lead with a home win over Real Zaragoza on Sunday.
Madrid coach Manuel Pellegrini was shorn of striking options with Cristiano Ronaldo, Karim Benzema, Gonzalo Higuain and Ruud van Nistelrooy injured so the onus was on Raul and Kaka.
The pair had two of Real´s best chances, with Esteban Granero missing the other, but Real could not find a way through against a Sporting side that remain unbeaten at home and a respectable seventh in the table.
"Football can be like this sometimes," reflected Real playmaker Guti. "You can create lots of chances but don´t take them.
"We had some important attacking players absent today and of course we missed them."
Sevilla, the only Spanish side to win in the Champions League this week, missed the chance to capitalise on Real´s slip following a 0-0 home draw against 10-man Espanyol.
Sevilla stay three points behind Real after failing to score in the league for the second successive game although that was largely down to some heroics from Espanyol goalkeeper Carlos Kameni.
Espanyol, now unbeaten in five matches, had been reduced to 10 men after defender Nicolas Pareja was sent off for hacking down Diego Capel on the hour mark but Kameni pulled off some fine saves to hold on for a point.
"We have to get some points away and try to win at home - that is our strategy," said Kameni.
The Milan defeat had raised defensive issues at Real Madrid again and Spanish international Raul Albiol was dropped to the bench with Argentine Ezequiel Garay taking his spot at centre-back.
Sporting had lost 7-1 and 4-0 against Real last season so must have feared the worst.
Real goalkeeper Iker Casillas, at fault for two Milan goals, flapped at an early cross but Sporting could not take advantage of the mistake.
Kaka had Real´s first effort on 20 minutes with a low shot before Raul swivelled and shot wide close to the half hour mark following a goalmouth scramble.
Gijon had their best opening close to half-time with Miguel de las Cuevas, who has four goals already this season, forcing Casillas to get down quickly to defend his near post.
Sporting goalkeeper Juan Pablo denied Esteban Granero with an outstretched foot early in the second half and then a fingertip save to thwart a fierce Kaka free-kick.
Substitute Rafael van der Vaart almost caught Pablo out with an overhit cross but the goalkeeper recovered just in time to palm the ball over.
"This is like a win for us," said Sporting coach Manolo Preciado. "We worked so hard and you could see how tired we were at the end."
At Atletico Madrid, unpopular coach Abel Resino may have gone but the fans jeers continue after the club failed to beat nine-man Real Mallorca struggling to a 1-1 draw at the Vicente Calderon.
A last minute equaliser from Borja Valero denied Atletico victory after Diego Forlan had put them in front from the penalty spot.
The insipid display will not have impressed incoming Atletico coach ´Quique´ Sanchez Flores.
"Drawing against a team with two players less is difficult to explain," said striker Sergio "Kun" Aguero.
"That has never happened to me before and the criticism from the fans is logical
"I hope the arrival of the new coach can help turn the situation around."
Former Valencia and Benfica coach Flores will officially take over on Monday after Resino was sacked on Friday.
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