Military personnel from Britain, France, Germany, Mali, Mauritania, Senegal, Spain and Tunisia are also taking part in the joint manoeuvres known as African Lion 2017.
The annual exercise began on Wednesday and runs until April 28 around the southern towns of Tifnit and Agadir. It includes land, air and naval elements.
They are led by the Marine Corps Forces Europe and Africa and sponsored by the US Africa Command.
American and Moroccan forces form the bulk of the troops taking part.