The Dusseldorf contract is for 42 vehicles, worth about US$135 million, with an option for 16 additional vehicles.
The Cologne contract is for 20 rail vehicles valued at US$68 million.
The Flexity light rail vehicles will be manufactured in Germany for delivery between 2017 and 2021.
Flexity light rail vehicles are already in service in Cologne and Frankfurt in Germany, Manchester in England, and in Bursa, Turkey.
Bombardier Transportation, a wholly owned global subsidiary, has its headquarters in Berlin.