Labbadia's side beat Freiburg on Wednesday night to reach the final and Labbadia said that Stuttgart gave their all to get there.
"It's a joyous day for us, my team wanted the win at all costs," Labbadia told Stuttgart's official website.
"Right since the first round game against Falkensee-Finkenkrug, the final has been our goal.
"You've really got to compliment the team that was the 46th game of the season here tonight. We worked incredibly hard for this success."
Stuttgart will play Bayern Munich in the final.