The Citizens, who only needed a point to finish above closest challengers Shakhtar Donetsk, earned the victory through a late Sterling strike.
Prior to that, Bernardo Silva had come closest to a breakthrough in the first half on what was otherwise a frustrating night for the hosts.
Relive how the 90 minutes of action unfolded with Sports Mole's live text coverage below.
STARTING XI: Ederson; Walker, Mangala, Otamendi, Danilo; Gundogan, Yaya Toure, De Bruyne; Sterling, Aguero, Bernardo
SUBS: Bravo, Foden, Delph, D.Silva, Fernandinho, Diaz, Jesus
STARTING XI: Jones; Van Beek, Haps, Diks, Tapia; Vilhena, Amrabat, Toornstra; Boetius, Larsson, Berghuis
SUBS: Vermeer, St. Juste, Nelom, Nieuwkoop, Jorgensen, Basacikoglu, Kramer
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These two sides have met on just one previous occasion in UEFA competition, coming in the reverse meeting two months ago. John Stones, Sergio Aguero and Gabriel Jesus all netted for Manchester City in the opening 25 minutes, before Stones added his second before full time - the perfect way to start their 2017-18 European campaign. Feyenoord have played in England 10 times in the past, meanwhile, losing three of the last four - most recently going down 4-0 to Manchester United last season.
Feyenoord have lost 11 Champions League games in a row and have just one win in 13 going further back - a 1-0 victory over Newcastle United in September 2002 - how times have changed since then! Away from home in Europe is a similarly bleak tale, as a 3-0 win over Standard Liege in the Europa League in 2014 is their only triumph in 17 attempts since that memorable night at St James' Park 15 years ago.
With kickoff now less than five minutes away at the Etihad Stadium, let us check out some pre-match thoughts from both camps.
Pep Guardiola: "Both [Aguero and Jesus] have different qualities - they deserve to play. They have a lot of games and they have to be ready. It is the toughest decision. Yeah, [they could play together] in the moment we had Mendy. When you have Mendy, he can play wide and the winger can go inside. Fabian Delph cannot do that. Without Mendy, Leroy Sane has to go wide, which is why they don't play together."
Giovanni van Bronckhorst: "The first game we played against them at home, it was an outstanding performance from City. They have only drawn once, against Everton at home. All the other teams couldn't cope with the level they have and the football they are showing. I don't think you will find a person in this room, or Europe or the world even, to say that City are not one of the best teams at the moment."
MANCHESTER CITY SUBS: Vermeer, St. Juste, Nelom, Nieuwkoop, Jorgensen, Basacikoglu, Kramer
FEYENOORD SUBS: Bravo, Foden, Delph, D.Silva, Fernandinho, Diaz, Jesus