The Black Cats claimed a thumping victory at St James’ Park for the second year in a row and climbed even further away from danger thanks to efforts from Fabio Borini, Adam Johnson and Jack Colback.
And the Uruguayan could not hide his delight in winning his second Tyne-Wear derby, becoming the first Sunderland manager to do the double over the Magpies since 1967.
"[This is] one of the best days I’ve had in football, as a manager, no doubt," Poyet told reporters.
"Of course the three points are the most important thing. I don’t know how many people were expecting this but I’ve been telling you for a few weeks that we were getting better and especially away from home we are a difficult team to play against.
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"You need to be strong, but at the same time be relaxed to play the football that we want to play and the players they are enjoying it so all credit to the players they were outstanding today."
There were raucous scenes both in the Sunderland dugout and amongst the away fans when Colback made the points safe and Poyet explained just what a special moment it was for the club.
"You need to support Sunderland to know," he added. "The feeling of being able to beat your biggest rival 3-0 away from home, there is little that comes better than that so it’s an incredible day for us today.
"Nowadays in football, when its 2-0 and the opposite teams scores it looks like the whole game changes completely so you need to score the third goal these days to be calm.
"I think at that time [when the third goal went in] everyone thought 'okay, now it is done.'"