Montreal’s Harry Shipp scored from long range in the 55th minute before 38-year-old Lampard redirected a pass from Villa with five minutes left to seal the win for the Eastern Conference leaders.
Drogba and Lampard, who have been hampered by injuries this season and were facing each other for the first time in their two MLS seasons, embraced after the game.
Lampard was sidelined with a calf strain earlier this season, while Drogba, also 38, returned after missing two games for the Impact with a thigh problem.
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Philadelphia Union and New York Red Bulls, both hard on New York City's heels in the East, drew 2-2 in Philadelphia.
The Red Bulls built a 2-0 lead in the first half thanks to a double from Sacha Kljestan but Union got one back through C.J. Sapaong's penalty in the 67th minute before Chris Pontius tied it a minute later.
Defending champions Portland beat Seattle Sounders 3-1 after Timbers midfielder Diego Valeri scored late in the first half and early in the second to give his side a 2-0 lead.
Chad Marshall pulled one back for the Sounders with a header in the 59th minute before Fanendo Adi restored Portland’s two-goal advantage five minutes later.
(Reporting by Tim Wharnsby; Editing by Peter Rutherford)
