It was primarily the "Continental Congress" that was responsible for governing the colonies during the American Revolution, although of course the British thought they were still responsible as well.
The Continental Congress was the governing body by which the American colonial governments composed their protection from British rule amid the initial two years of the American Revolution.
The Congress balanced the interests of the diverse states and furthermore settled itself as the official colonial contact to Great Britain. As the war progressed, the Congress turned into the effective national administration of the nation, and, led diplomacy in the interest of the new United States.