Steve Bruce was without a Premier League win in 44 games when his side had been trailing at the break so the omens weren't good for the visitors when Matej Vydra put the Clarets ahead.
However, inspired by substitute Allan Saint-Maximin, the Magpies staged a remarkable recovery, turning the game around in a five-minute spell early in the second half.
The Frenchman teed up Jacob Murphy for the equaliser before slotting past Bailey Peacock-Farrell to put Newcastle in front.
Sean Dyche' s side have now won just one game in 11 in all competitions at Turf Moor since the turn of the year.
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The Frenchman teed up Jacob Murphy for the equaliser before slotting past Bailey Peacock-Farrell to put Newcastle in front.