The Ligue 1 champions were missing striker Zlatan Ibrahimovic because of a heel injury, but still had too much for their Cypriot opponents at the Parc des Princes.
This was underlined as early as the first minute when Edinson Cavani collected a Gregory van der Wiel cross in the box before firing in a shot on the turn.
The win extends PSG's unbeaten record in all competitions this season and takes them to 10 points from their four Champions League matches in Group F – a total that can only be overtaken by second-placed Barcelona, who beat Ajax 2-0 on Wednesday and host Laurent Blanc's men in the final round of group games on 10 December.
PSG are also now unbeaten in 31 home European matches – a run that dates back to November 2006 and includes 12 successive victories, of which Wednesday's win was the latest.
This second successive loss to PSG leaves them bottom of the group with just a single point to their name and braced for a battle with Dutch side Ajax for a consolation place in this season's UEFA Europa League.
The Cypriot side faced a major uphill battle from the moment goalkeeper Urko Pardo allowed Cavani's shot on the turn to beat him and find the corner of the net after just 54 seconds.
A mixture of the woodwork, Pardo and PSG's profligacy prevented the scoreline being bigger at the break.
Cavani hit the post with a diving header inside the box – which Ezequiel Lavezzi and Javier Pastore made a mess of following up – before the keeper produced a superb save to tip Lucas' goal-bound shot just past the upright.
