Griezmann opened the scoring in the first half then netted the winner midway through the second after Club Brugge equalised with a superb long-range shot by Arnaut ‘Danjuma’ Groeneveld just before halftime.
Atletico’s third goal was scored by midfield general Koke in stoppage time.
Antoine Griezmann hit a brace and the 8000th goal in Champions League history vs Bruges
The diminutive Frenchman was on song to fire Diego Simeone’s side to a 3-1 victory at home
A superb equaliser from Bruges looked to re-write the script before Griezmann wrapped it up
Atletico Madrid: Oblak, Arias, Godin, Gimenez (Filipe Luis 45), Lucas, Lemar, Thomas (Correa 63), Saul, Koke, Griezmann, Costa (Rodri 69).
Subs not used: Adan, Kalinic, Juanfran, Garces.
Goals: Griezmann (28, 67), Koke (90)
Booked: Gimenez, Hernandez
Bruges: Letica, Poulain, Mechele, Denswil, Vlietinck, Vormer, Vanaken, Rits (Openda 75), Groeneveld, Wesley, Schrijvers (Nakamba 56).
Subs not used: Horvath, Vossen, Mitrovic, Bonaventure, Mata.
Goals: Groeneveld (39)
Booked: Rits, Openda
Referee: Ivan Kruzliak (Slovakia)
Atletico was struggling to break through the defense of the Belgian champions when Griezmann scored the decisive goal with a shot from inside the area after a pass by Diego Costa, who had to be immediately substituted with an apparent muscle injury.
It was an important victory for Atletico, which faltered against the team considered the weakest in its group last season.
It was held to two draws then by Azerbaijani club Qarabag, results that led to the team’s elimination in the group stage.
The victory also extended Atletico’s unbeaten streak in all competitions to six matches this season.
Club Brugge, back in the Champions League group stage after a one-year absence, was trying to halt a seven-game losing streak in group games in the competition.
In the other Group A match on Wednesday, Borussia Dortmund was hosting Monaco.