The Blues lost 1-0 at Wembley via a Youri Tielemans strike.
"Of course we're disappointed but we're not angry, not with our performance and not with our boys," Tuchel said.
"I think this performance in this game is enough to win. Today we were simply unlucky, we've never hidden the fact you need luck to win at this level. All the time you needed a certain momentum, you need some little details and decision-making.
"We defended very well," he continued. "We were very aggressive on the counter press, we defended high up the pitch, did not allow any counter-chances for one of the most dangerous counter-attacking teams in Europe, and we did not allow any half-chances or any chances.
"I was absolutely happy with the work-rate and intensity. But some decision-making in the first half was a bit too hectic, we went too straight up front.
"We wanted to force the solution too fast, we had some unnecessary ball loses and some imprecise decision-making, because we created some two-against-two and three-against-three situations that were more promising than what we made of them.
"We made a chance for Azpilicueta in first half, maybe the biggest chance in the whole game. In the second half we controlled the match even higher and completely in the opponents' half.
"We then conceded the goal out of nothing. It's a fantastic goal but it's a lucky one of course and then there was a big chance for Mason and a fantastic save by Schmeichel, and then an offside goal which was very close.
"When you are in a final you cannot guarantee that you end up with a trophy. I think we would have deserved to win but it's okay, we need to accept we were unlucky today."