Reports emerged of the explosion earlier this evening and the game between Dortmund and Monaco has been put back until tomorrow.
Marc Bartra was injured and has cuts to his hands – he has been taken to hospital.
And German police have now revealed there were three explosions near the bus.
"According to what is currently known, the windows of the bus were (entirely or partly) smashed and one person was injured," Dortmund police said.
The police confirmed the incident happened in Hoechsten, located outside the city.
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Borussia Dortmund v Monaco was called off after a series of explosions near the team bus
"It is not yet possible to say exactly what the explosion was or exactly where something exploded," said the statement.
Dortmund revealed defender and Spanish international Bartra had been taken to hospital.
"All of our support to @MarcBartra, @BVB and their fans," Barcelona tweeted in support of their former player.
Police added: "Currently there is no evidence of a threat to the visitors at the stadium."
Borussia Dortmund said in a statement: "Shortly after the departure of the Borussia Dortmund team bus from the hotel to the stadium there was an incident.
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"The bus has been damaged in two places. One person has been injured and is in the hospital. At this point we will inform as soon as we know more."