The northern, southern, and naval theaters of the war converged in 1781 at Yorktown, Virginia. In early September, French naval forces defeated a British fleet [the first time they had been defeated] at the Battle of the Chesapeake, cutting off Cornwallis' escape. Washington hurriedly moved American and French troops from New York, and a combined Franco-American force of 17,000 men commenced the siege of Yorktown in early October. Cornwallis' position quickly became untenable, and he surrendered his army on October 19, 1781.
With the surrender at Yorktown, King George lost control of Parliament to the peace party, and there were no further major military activities on land. The British had 30,000 garrison troops occupying New York City, Charleston, and Savannah. The war continued at sea between the British and the French fleets in the West Indies.[15]
In London as political support for the war plummeted after Yorktown, Prime Minister Lord North resigned in March 1782. In April 1782, the Commons voted to end the war in America. Preliminary peace articles were signed in Paris at the end of November 30, 1782; the formal end of the war did not occur until the Treaty of Paris was signed on September 3, 1783, and the United States Congress ratified the treaty on January 14, 1784. The last British troops left New York City on November 25, 1783.
Britain negotiated the Paris peace treaty without consulting her Native American allies and ceded all Native American territory between the Appalachian Mountains and the Mississippi River to the United States. Full of resentment, Native Americans reluctantly confirmed these land cessions with the United States in a series of treaties, but the fighting would be renewed in conflicts along the frontier in the coming years, the largest being the Northwest Indian War.
https://en.wikipedia.org/wiki/American_Revolutionary_War