Neil Lennon and his squad were watching at Celtic's Lennoxtown's training ground when the draw was made in Monaco, placing them against three other European champions.
The Hoops, being drawn from pot four of the 32 qualifiers, were sent into one of the hardest groups, having to compete again with Barcelona after last year's triumph at Parkhead.
The full draw is:
Group A: Manchester United, Shakhtar Donetsk, Bayer Leverkusen, Real Sociedad
Group B: Real Madrid, Juventus, Galatasaray, Copenhagen
Group C: Benfica, Paris St-Germain, Olympiakos, Anderlecht
Group D: Bayern Munich, CSKA Moscow, Manchester City, Viktoria Plzen
Group E: Chelsea, Schalke, Basel, Steaua Bucharest
Group F: Arsenal, Marseille, Borussia Dortmund, Napoli
Group G: Porto, Atletico Madrid, Zenit St Petersburg, Austria Vienna
Group H: Barcelona, AC Milan, Ajax, Celtic