Diego Simeone's men followed up Saturday's derby victory over city rival Real Madrid with a convincing win in front of their own fans.
Atletico Madrid closed the gap on La Liga leader Barcelona to five points with a comprehensive 3-0 home win over Real Sociedad at the Vicente Calderon on Tuesday.
Antoine Griezmann followed up his winner in the derby against Real Madrid on Saturday with a second-half penalty as Diego Simeone's men cruised to a third victory in their last four domestic outings.
The home side was gifted the lead after just eight minutes when Sociedad defender Diego Reyes had the misfortune of turning Koke's cross into his own net.