Brazilian Neymar continued to pay back his 222 million- euro world record transfer fee with his fifth goal in five games to put PSG in front before he set up Mbappe to make it 2-0 late last night.
Edinson Cavani then converted from the penalty spot five minutes before the break and things got worse for Celtic in the second half.
Mikael Lustig's 83rd-minute own goal and Cavani's angled header two minutes later heaped more misery on the Scottish champions, who could yet find themselves in trouble with UEFA after a fan managed to make his way onto the pitch to aim a kick at Mbappe during the first half.
"I think my team showed a lot of character. It was a real team effort and they showed a real controlled approach to the match, which I am really pleased with."
The emphatic win propels PSG to the top of Group B on goal difference from Bayern Munich, who beat Anderlecht 3-0 and who the French side host in a fortnight.
The nature of the victory was also a real statement of intent from this summer's big spenders who are determined to make a bigger impression than ever before on Europe's elite club competition.
However, the French side's superstars -- and in particular their front three, christened the 'MCN' in France -- showed no signs of fear inside the intimidating atmosphere of Celtic Park as the gulf in class between the sides showed from the start.
PSG's pressure soon paid off but Neymar's opener wasn't without controversy.
Celtic felt they should have had a free-kick in the PSG half after Scott Sinclair went down but the visitors took full advantage as Adrian Rabiot's quickly-played ball behind Anthony Ralston found the Brazilian who expertly lifted a shot over Craig Gordon.
=====================
Emery had identified Leigh Griffiths as the danger man for Celtic before the game and the striker came close to an equaliser when his curling free-kick was tipped over by Alphonse Areola.
Mbappe then showed why PSG are prepared to make him the world's second-most expensive player when he grabbed his second goal in two games since joining on a season-long loan from Monaco.
Neymar's headed ball across goal was missed by Cavani but the 18-year-old, who PSG have an option to buy for a fee that could reach 180 million euros, pounced to fire home.
The Uruguayan took the spot-kick himself and sent Gordon the wrong way.
Celtic improved after the break as PSG took their foot off the gas but two late goals left the Scottish giants with their biggest ever home loss in Europe.
Lustig scored an own goal after substitute Julian Draxler drilled the ball across goal before Cavani rose at the back post to send a sublime angled header past Gordon from Layvin Kurzawa's cross.
"If you do that against what is arguably the best team in the world just now they will punish you.
Disclaimer: No Business Standard Journalist was involved in creation of this content
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