The Reds were drawn with Paris Saint-Germain, SSC Napoli and Red Star Belgrade in Group C during Thursday's draw in Monaco.
Jürgen Klopp's team will begin their Champions League campaign with a home match against PSG on Tuesday September 18, before they then visit Napoli on Wednesday October 3.
Matchday three, on Wednesday October 24, will see Liverpool face Red Star at home, with the return meeting next up on Tuesday November 6.
The Reds will then take on PSG away on Wednesday November 28, before concluding Group C against Napoli at Anfield on Tuesday December 11.
Confirmed Champions League fixtures (all times BST)
Liverpool v Paris Saint-Germain - Tuesday September 18, 8pm
Napoli v Liverpool - Wednesday October 3, 8pm
Liverpool v Red Star - Wednesday October 24, 8pm
Red Star v Liverpool - Tuesday November 6, 5.55pm
Paris Saint-Germain v Liverpool - Wednesday November 28, 8pm
Liverpool v Napoli - Tuesday December 11, 8pm
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