William Brouncker may refer to:
Sir William Brouncker (Wiltshire MP, died 1596) (c. 1547–1596), English landowner, lawyer and MP for Westbury and Wiltshire William Brouncker, 1st Viscount Brouncker (1585–1645), English courtier, nephew of the above William Brouncker, 2nd Viscount Brouncker (1620–1684), English mathematician, son of the above William Brouncker (Westbury MP, died 1680) (c. 1620–1680), English landowner and MP for Westbury, great-grandson of Sir William Brouncker