Noun
the branch of international law that deals with territorial and international waters or with shipping or with ocean fishery etc.
Source: WordNetRegardless, the men were tried with their comrades in Williamsburg's Capitol building, under admiralty law, on 12 March 1719. Source: Internet
While seventeenth-century English admiralty law allowed captains great leeway in using violence against their crew, outright murder was not permitted. Source: Internet