With this win, Atletico now have five points, provisionally occupying the fourth position, while Celta are at the bottom of La Liga table with no points.
After a goalless first half, Koke received a good pass from Griezmann to open scoring in the 53rd minute, reports Efe.
After his assist in the first goal, Griezmann scored the second goal for his team with a header after 73 minutes.
Griezmann again scored with his head after a cross from Juanfran in the 81st minute.
Just eight minutes later, Angel Correa scored the fourth goal after finishing a great play from Koke.