The Tigers went behind shortly after Tim Krul had produced a fantastic double save to deny Alex Bruce at the KC Stadium, with the Magpies breaking forward and Moussa Sissoko opening the scoring.
The home side had chances to equalise via headers from Ahmed Elmohamady and Nikica Jelavic, who also saw a deflected free-kick hit the crossbar.
Newcastle made them pay for these misses when Loic Remy latched onto a poor back-pass from Maynor Figueroa to double the scoring shortly before the break.
While skipper Curtis Davies pulled one back for Hull soon after the re-start, a loose touch by Tom Huddlestone following a short free-kick allowed Newcastle to break away and Sissoko to score his second, before Vurnon Anita wrapped up the win in stoppage time.
Bruce bemoaned the defending of his side, telling Sky Sports: "It was disappointing because we started off so brightly and I think what summed the day up, their keeper's made a wonderful, wonderful save, and all of a sudden we're 1-0 down within 30 seconds.
"But as I've said repeatedly, the one area of the pitch where we've done remarkably well is our ability to defend and today, we made too many mistakes and made it so easy for Newcastle.
"We get ourselves back in the game from a mistake but after that we've committed another really awful, awful mistake and once you make mistakes at this level, then you get punished and that's what we did.
"We've had three or four wonderful opportunities to get back in the game, we've had two headers - Elmohamady's header and Jelavic's header - (we also) hit the bar and all of a sudden we've given an awful, awful goal just before half time and we're 2-0 down and you scratch your head thinking 'Well, how's that happened?'
"We needed to get back in the second half, we did that and unfortunately we've made another calamitous error from a free-kick which has let Newcastle go and score again."
The match was overshadowed by the incident between Pardew and Meyler on 72 minutes which resulted in the Newcastle manager being sent to the stands.
Bruce believed it was right that Pardew had promptly said sorry after the game, adding: "Also I have to say, we've seen people play-acting and all the rest of it. I don't think he really smashed (his head) in there but David Meyler, it's a good job it was him because we see people rolling around the floor.
"David's reacted - OK, he's angry of course - but I think Alan knows he's been stupid on the day and rightly apologised."