Newcastle had led three times but United pegged them back each time and then won it through Javier Hernandez in the last minute.
That meant they move further clear of City, who lost 1-0 at Sunderland for the second season in a row.
What is your opinion? Feel free to discuss the article under. You have to comment by using your Facebook profile. Be fair and have respect for other people and opinions!
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.