The Uruguayan had only five minutes to cynically crush Alvaro Morata when the Atletico striker passed the goal.
The incident at the edge of the box triggered a hand-to-hand fight in which both groups of players with Atletico were out of sorts because Valverde had denied them the chance of a late winner.
"I'm happy to win the title, but I'm sticking to what I've done because it's not right."
After the goalless game, Real Madrid recovered and won the 4-1 final on penalties. The midfielder was named "Man of the Match" due to his outstanding performance.
Man of the game
Zinedine Zidane, who has won all nine games as a Real Madrid coach, said Valverde deserved the award despite his serious foul.
"He [Valverde] was voted Man of the Match, but it's an award for everyone because every player has given everything. It is a well deserved award for him and all of his teammates. "
Atletico's coach Diego Simeone seemed to calm Valverde when the midfielder left the field, and perhaps ironically, he said the 21-year-old deserved his individual award.
"It was the most important moment in the game because if the game had continued it could have resulted in a goal," said Simeone.
"I told him not to worry, everyone had done what he did in his place, he did what he had to do."
Madrid wins controversial cup
The Spanish Super Cup this season had a new format: the two best clubs in the league and the two finalists of the Copa del Rey competed with four teams in Saudi Arabia.
The decision to move the tournament has been criticized by human rights groups.