- Jun 1 Boston Port Bill: British government orders Port of Boston closed
- Jun 2 Intolerable Acts: Amendment to original Quartering Act enacted, allows governors in colonial America to house British soldiers in uninhabited houses, outhouses, barns, or other buildings if suitable quarters not provided
- Jun 11 Jews of Algiers escape attacking Spanish Army
- Jun 13 Rhode Island becomes first colony to prohibit importation of slaves
- Jun 16 Formation of Harrodsburg, Kentucky
- Jun 22 British parliament accepts Quebec Act