The Ruhr outfit's 4-3 aggregate win over Real Madrid secured a place in the showpiece of Europe's biggest competition for the first team since 1997 and the club has paid tribute to their fans' support.
"We've followed how much sympathy people have towards us with great excitement," marketing director Carsten Cramer told the club's official website.
He added, "More than 500,000 applications are a clear sign of Echte Liebe [true love, the club's motto] which Borussia Dortmund fans feel towards the club and our authentic and successful team."
The club further has announced that a drawing will be made to decide who will receive a ticket to watch the Champions League final live.
BVB CEO Hans-Hoachim Watzke, meanwhile, apologized for not being able to provide every fan with a place at Wembley.
"We're sorry that we're not nearly able to fulfill the wishes," he told reporters. "Ten years ago, every club member would have had a chance to secure a ticket."