City have also been drawn in the same group as German champions Borussia Dortmund and Dutch champions Ajax.
Manchester United have been handed a lucky draw as they will line up against Braga, Galatasaray and CFR Cluj.
Complete Champions League draw:
Group A
Porto
Dynamo Kiev
Paris St Germain
Dinamo Zagreb
Group B
Arsenal
Schalke
Olympiakos
Montpellier
Group C
AC Milan
Zenit St Petersburg
Anderlecht
Malaga
Group D
Real Madrid
Manchester City
Ajax
Borussia Dortmund
Group E
Chelsea
Shakhtar Donetsk
Juventus
Nordsjaelland
Group F
Bayern Munich
Valencia
Lille
BATE
Group G
Barcelona
Benfica
Spartak Moscow
Celtic
Group H
Manchester United
Braga
Galatasaray
CFR Cluj
