The capital giants beat Barcelona 3-2 in the semi-finals of the competition before recording a 2-0 victory over Athletic Bilbao in the final at the weekend.
Ancelotti lavished praise on his team following the Super Sup triumph and has insisted that Los Blancos are now ready to compete for success in the Champions League, La Liga and Copa del Rey.
"This is a very good team and very good squad and I feel proud to be the coach," Ancelotti told reporters. "We will now keep competing in the other competitions.
"We have our next match on Thursday [in the Copa del Rey] and it's an important one. These players have already won so much, but they're still so committed. When you win a lot, you might think you're the best and not work as hard, but they keep the same level."
Real Madrid will be bidding to book their spot in the quarter-finals of the Copa del Rey when they take on Elche on Thursday before returning to league action against the same opponents at the weekend. body check tags ::