Griezmann (54 and 71) opened the scoring with an Olympic goal and doubled the difference before Nabil Fekir (84) closed the gap to keep the Betis in the game until the final whistle.
Atlético has 23 points, synonymous with third position alone, one ahead of Real Sociedad (4th) and three of Betis (5th).
Barcelona, second-placed in the Spanish championship, sees their advantage over the rojiblancos reduced to just two points before their game against Ahletic Club on Sunday.
For its part, Villarreal achieved an agonizing victory with ten men in added time against Almería 2-1.
Gonzalo Melero (31) put the visitors ahead half an hour into the game. In the second part, Álex Baena, who had seen a yellow card minutes before (50), tied the match (56) and celebrated by lifting his shirt to show a message of tribute to Vice President José Manuel Llaneza, who died on Thursday.
This gesture earned him the second yellow card and the expulsion, which made the match uphill for the Yellow Submarine… until in a counter started by a long pass from Dani Parejo, the Senegalese Nicolas Jackson scored the local victory goal (90+4).
With this result, Villarreal occupies 7th position and rejoins the European part of the table, while Almería (14th), with 10 points, only has one unit advantage over the relegation positions.
In the other matches on Sunday, Espanyol (13th) tied 2-2 against bottom side Elche, who scratched a point in the final minutes thanks to a goal from Gonzalo Verdú (82nd) while Girona (17th) and Osasuna (8th ) also signed the tables with 1-1, which serves the Catalans to provisionally abandon relegation.