Suarez was mobbed by his team-mates in celebration after the goal, which left Real powerless in their hopes of clawing their way back.
As the minutes ticked on, Real’s chances of winning their 35th La Liga table vanished.
Incredibly, Real did score twice in the closing minutes of their game with Benzema and Luka Modric giving them a glimmer of hope.
All Atletico had to do was hold on for a couple of minutes with Simeone frantically waving his arms about on the touchline before the referee blew his whistle.
The end of the game sparked wild celebrations on the pitch among Atletico players for their first La Liga title since 2014.
And Suarez’s goal proved to be the decider for Simeone’s side – a year after he was cast aside by Barcelona.