German Railways (DB) operates a train from Brunsbüttel to Hamburg hourly. Tickets cost $16 - $24 and the journey takes 28 min. 2 other operators also service this route.
How to get from Brunsbüttel to Hamburg
From Brunsbüttel drive to Brunsbüttel, car ferry to Cuxhaven, drive to Cadenberge, then train to Hamburg Hbf. 3 h 25 min 35€. From Brunsbüttel taxi to St Michaelisdonn, train to Itzehoe, then train to Hamburg Dammtor. 1 h 58 min 82€. From Brunsbüttel drive to Hamburg. 1 h 11€.