Striker Papiss Cisse opened the scoring for the visitors with a glancing free header from close range on 10 minutes.
But Palace hit back quickly with two goals in three minutes through James McArthur’s deflected effort and Yannick Bolasie’s lashed finish.
Wilfried Zaha volleyed home a third with Bolasie and McArthur heaping further misery on Newcastle.
Palace move up to seventh with a devastating display, despite falling behind early on in the match.
Jason Puncheon and Joel Ward could have made the scoreline even worse for the visitors, but had their efforts save by Rob Elliot – the goalkeeper could do nothing about the five he did concede though.
Pardew’s Palace produce pacy performance
Pardew was manager of Newcastle between December 2010 and January 2015, taking the club back into the top flight from the Championship.