The win on Tuesday kept up their 100 per cent record in Group A with the French team on nine points at the halfway mark and on the cusp of qualification for the next phase, with a comfortable five points ahead of second-placed Real Madrid.
Mauro Icardi put PSG into a seventh-minute lead but it was only after World Cup winner Mbappe, working his way back after a hamstring injury, came on early in the second half that they clicked into gear.
PSG’s opener was simply done with a long ball over the top from skipper Thiago Silva to find Angel di Maria, who in turn slipped a square pass for his fellow Argentine to convert.
Mbappe came on shortly after halftime and within nine minutes had PSG further ahead.
His quick footwork set up Di Maria for a square pass that Brugge goalkeeper Simon Mignolet got a hand to, serving only to pop it up in the air for a quick-thinking Mbappe to head back over him and into the net.
Mbappe then set up the third for Icardi two minutes later after a defensive slip.
Di Maria was again the provider as Mbappe made it 4-0 in the 79th minute and then completed his hat-trick four minutes later.
On both occasions, it was the pace of the 20-year-old in carving his way past the Brugge defence and his deft finishing that underlined his prowess. PSG are now top of the group ahead of others