Callum Wilson put United in front for the first time midway through the first half with a superb piece of improvisation in the box, but Mario Lemina levelled with a thumping header.
But in first-half stoppage time, Wilson scored again - this time from the penalty spot - to put the Magpies in the driving seat before the break.
However, Hee-chan Hwang equalised for a second time in the 71st minute to earn his side a sixth draw in the last nine Premier League matches between the two sides.
Club photographer Serena Taylor brought nufc.co.uk this gallery.