The group stages of the UEFA Champions League 2013-14 were drawn on Thursday afternoon at the Grimaldi Forum in Monte Carlo.
Five British teams are also in the draw for the group stages.
Celtic face a huge task to qualify for the Champions League knockout stages after being drawn in the same group as Barcelona, AC Milan and Ajax.
Manchester City take on holders Bayern Munich, CSKA Moscow and Viktoria Plzen.
Arsenal have a tricky start versus Borussia Dortmund, Marseille and Napoli while new Manchester United boss David Moyes is up against Shakhtar Donetsk, Bayer Leverkusen and Real Sociedad.
Chelsea have an easier group of Schalke, FC Basel and Steaua Bucharest.
The first round of group matches will be played on 17-18 September.
Full Champions League draw:
Group A: Manchester United, Shakhtar Donetsk, Bayer Leverkusen, Real Sociedad
Group B: Real Madrid, Juventus, Galatasaray, FC Copenhagen
Group C: Benfica, Paris St-Germain, Olympiakos, Anderlecht
Group D: Bayern Munich, CSKA Moscow, Manchester City, Viktoria Plzen
Group E: Chelsea, Schalke, FC 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
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