No injuries have been reported from the two homemade devices, only property damage, police added.
The first explosion was reported at just before 10 p.m. Monday (4 p.m ET), and the second, which affected the International Congress Centre, was reported several minutes later, at 10.19 p.m.
Police say they believe the attacks were related.
“They are believed to be simultaneous. Although no one claimed responsibility for the incident, we must have to consider a xenophobic motive for the attack,” Horst Kretzschmar, the city’s police chief in Dresden stated, adding that police were on high alert.
Overnight, Kretzschmar had deployed police personnel to protect Islamic institutions in Dresden, as well as the Turkish General Council.
“The assault might also be relevant to the German Unity Day, which will be celebrated next weekend,” he said.