The two sides go head-to-head for the first time this season in the Manchester derby on Sunday.
Guardiola, asked if he was as obsessed with winning silverware as Mourinho, said: "Definitely. In that we are twins. He wants to win trophies, I want to win trophies.
"Antonio Conte as well and Jurgen [Klopp] and Mauricio [Pochettino].
"We love to compete, we love to win games but believe me it's not a special occasion when we beat Mourinho teams."
"We've faced each other many times in big moments," he added.
"I know the way we see the game is different because it's normal.
"I never criticise my colleagues the way they play. Every manager plays the way they play.
"At the end of the result, I will respect my colleague. He knows, I know that we want to beat each other."