Suarez's late strike handed Atletico Madrid a vital win in their LaLiga Santander title challenge and Simeone was full of praise for his players at full time.
"The team put in a great performance after the effort against Real Sociedad," he said.
"We had goalscoring opportunities, but we were not clinical until Ante Budimir's goal and the team responded.
"When we had fewer goalscoring opportunities, we were clinical and when we had more we were less clinical.
"When we had a drinks break I said that what we had to do was equalise because then we would win the match.
"The goal arrived soon after and then Luis Suarez's finish, that of a great player.
"Suarez has been away from the goals, but he was always there.
"He gives us great status and who better than him to decide a match?"
He also applauded the role of the substitutes for turning the match in his side's favour.
"The changes worked very well for us," he said.
"Everyone gave us freshness and they came in very well.
"It was a great pass from Joao Felix to Renan Lodi and we scored two very beautiful goals.
"More than ever we must take it game by game to play at Real Valladolid, where we will have the same difficulty as in all LaLiga matches."