Dortmund tweeted: "The game #bvbasm was just being cancelled. New appointment: Wednesday, 12.04. 18:45. Tickets remain valid."
The quarter-final will now be played on Wednesday evening at 5.45pm.
German police have since confirmed there were three explosions near the Dortmund bus as they headed to the ground.
They added: "To calm the stadium visitors and members: Currently there is no evidence of a threat to the visitors at the stadium."
Fans of Dortmund are concerned of the bomb attack to the bus of Borussia Dortmund
— Borussia Dortmund (@BVB) April 11, 2017
Dortmund explosion: First pictures of the team bus after incident Tue, April 11, 2017
Click through the gallery for the first snaps of the Dortmund team bus after an 'explosion'
Play slideshow REUTERS 1 of 5
— Matt Ford (@matt_4d) April 11, 2017
Spanish defender Marc Bartra has been taken to hospital after being injured in the incident.
The explosion occurred around 10km from the stadium where they were due to kick-off at 7.45pm UK time.
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Dortmund intially tweeted: Dortmund statement: "Bomb explosion near the team bus at the team hotel.
"Players are in security. No danger in the stadium."