Sir Joseph Lambert Eustace, GCMG, GCVO (28 February 1908 – 2 November 1996) was a Saint Vincent and the Grenadines politician. He was born as the second son of Reynold Lambert Eustace and Beatrice St. Hilaire Eustace of Mayreau in the St.Vincent Grenadines. Together with his brother John Parmenas Eustace he founded the Intermediate High School in November 1926 and taught there until around 1932 when he joined the staff of the St. Vincent Boys Grammar School. He died on 2 November 1996 at the age of 88.