Remy had been close to joining the Magpies before the Marseille forward completed a shock £8m move to the Hoops in the January transfer window, scoring six goals in 14 appearances.
And the 26-year-old admits he was thrilled that Alan Pardew made a second attempt to sign the former l’OM forward.
“I’m very happy to be a Newcastle player,” Remy told Newcastle’s website.
“It will be a huge honour to play for such a big club. I was very flattered by the Club’s interest in me back in January and also very happy that they showed interest in me again this summer.
“The Premier League is the best league in the world and that’s where I want to play.
“I am very motivated this year to get into the World Cup squad for my country. I know in order to do that I need to have a big season and a successful campaign with Newcastle United.
“I am focussed on helping the team achieve success this season and scoring as many goals as I can.”