Вариант 1:
Арбитражный Суд при ТПП Гамбурга по рассмотрению споров в сфере международных перевозок.
Вариант 2:
Третейский Суд ТПП Гамбурга по спорам в сфере международных перевозок.

Почему "международных"? См. страницу этого суда на сайте ТПП Гамбурга.
http://www.hk24.de/recht_und_fair_play/schiedsgerichtemediat...
What does Logistics Arbitration offer?
Hamburg is an internationally renowned logistics location
with Europe’s second-largest container harbour.
Almost every logistics company doing business in
Germany on an international level is represented in
Hamburg. The location is attractive and offers the best
conditions for the industry.
As of May 2006 the Court of Arbitration of the Hamburg
Chamber of Commerce provides rules of arbitration
especially tailored to the logistics industry and a list of
highly qualified arbitrators. In case of disputes between
or with companies from the logistics industry this ensures
fast, cost-effective and worldwide recognised
arbitration settlements.
Due to international conventions the potential for successfully
enforcing arbitral awards worldwide is a lot
greater than that for court judgements.

Почему "Арбитраж" & "Третейский Суд"? Практически синонимы ТАМ.