A week after City surrendered a 2-0 lead to lose 3-2 to United and squander the chance to wrap up the title in perfect style against their arch rivals, it was relegation-bound West Brom who served it up on a plate.
West Brom had lost eight of their previous nine games and last won on January 13.
City, who rebounded from the United loss and a European exit at the hands of Liverpool by beating Tottenham Hotspur on Saturday, have 87 points with five games left.
United have 71 also with five to play.
It is Abu Dhabi-owned City's third title in seven seasons and their first since former boss Manuel Pellegrini achieved the feat in 2013-14.
Guardiola has won the League Cup already for City this season but a first Premier League title, to go with the three La Liga titles he won as manager of Barcelona and the three Bundesliga titles he delivered for Bayern Munich, will be particularly satisfying for the Spaniard.
"You cannot imagine," Guardiola said on Saturday before the title race was decided. "It would be one of the best three seasons I have ever had as a player and as a manager. The amount of goals, chances and points, to do that in the Premier League, with the contenders we have, is because the players are so good."
More misery for Wenger
At St James' Park, Alexandre Lacazette's stretching volley gave Arsenal the lead in the 14th minute but Ayoze Perez clipped in Newcastle's equaliser on the half-hour mark.
Newcastle were the better side after the break and took the lead in the 68th minute when Matt Ritchie fired home after a neat flick from Perez.
Arsenal pressed hard for an equaliser but Newcastle defended stoutly to claim a fourth successive victory.
Newcastle have 41 points in 10th place with sixth-placed Arsenal on 54 – 13 points behind fourth-placed Tottenham Hotspur.
"Forty points was the target at the start of the season and hopefully we've done enough now to secure our Premier League status," Ritchie told Sky Sports.
"Now we want to keep going and try to finish as high as we can in the table."
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