Adrien Rabiot opened the scoring in the 21st minute followed smartly by Lucas Deaux's own goal, with Javier Pastore and Marquinhos completing the round of 32 win after the break.
Marcus Thuram and Yeni Ngbakoto were on the mark in either half for Guingamp from the penalty spot.
Despite PSG's dominance Cavani failed to get on the scoresheet as he pursues a record 157th goal, but it wasn't for the want of trying as he failed to convert a hatful of chances.
The Uruguayan striker is on the verge of becoming PSG's all-time scorer after drawing level with Zlatan Ibrahimovic's benchmark in the 8-0 rout of Dijon last week.
Neymar left the pitch after that Ligue 1 outing angered at booing directed at him from Parc des Princes fans when he stepped up to take a penalty rather than allowing Cavani a shot at the record.
The world's most expensive player was missing from PSG's 2-1 loss at Lyon on Sunday and again for this Cup tie with according to the club "a pain in his right thigh".
A section of the club's fans - 'Collectif Ultras Paris' (CUP) - conveyed a message of support to the Brazilian.
"To boo our players runs contrary to our values," "Neymar PSG Cup united for Paris", home supporters wrote on banners in the stands.
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