State governor Stephan Weil said the 93-million-euro ($92 million) project was an "excellent example" for Lower Saxony's efforts to make its economy greener.
The trains manufactured by French company Alstom are operated by regional rail company LNVG on routes between the northern towns of Cuxhaven, Bremerhaven, Bremervoerde and Buxtehude.
Alstom says the Coradia iLint trains have a range of up to 1,000 kilometers (621 miles) and a maximum speed of 140 kph (87 mph). By using hydrogen produced with renewable energy the trains will save 1.6 million liters (more than 422,000 gallons) of diesel fuel a year.