Henslow or Henslowe is a surname. Notable people with the surname include:
George Henslow (1835–1925), British botanist John Henslow (Surveyor of the Navy) (1730–1815), naval architect John Stevens Henslow (1796–1861), botanist, Sir John Henslow's grandson and Charles Darwin's mentor Francis Hartwell Henslowe (1811–1878), civil servant and composer, grandson of Sir John Henslow Philip Henslowe (c. 1550–1616), Elizabethan theatrical entrepreneur and impresario