The meeting, which took place at the Parc des Princes stadium in Paris, ended with a score of 2: 1 in favor of the guests.
PSG scored first.
In the 15th minute, Marquinhos scored.
Manchester City responded with goals from Kevin de Bruyne and Riyad Marez, who scored in the 64th and 71st minutes.
The home team finished the match with ten men after Idrissa Geye was sent off, who received a straight red card.
The return leg will take place in Manchester on 4 May.
Earlier it was reported that Real Madrid and Chelsea drew in the first match of the Champions League semi-finals.