Raheem Sterling's 13th league goal of the season secured the result for Pep Guardiola's side and sent them 15 points clear of Manchester United at the top.
The only negative for the visitors was the loss of captain Vincent Kompany to injury early in the first half, the centre-back going off with a suspected calf problem.
The slender scoreline belied what was one of City's most comfortable victories of an astounding campaign, with Newcastle offering almost no resistance despite having lost their previous four league matches at home.
