Gluckstein is a surname. Notable people with the surname include:
Daniel Gluckstein (born 1953), French politician Donny Gluckstein (born 1954), British historian Gluck (Hannah Gluckstein) (1895–1978), British painter Isidore Gluckstein, (1851–1920), British businessman and co-founder of J. Lyons and Co. Isidore Montague Gluckstein (1890–1975), British businessman, son of Montague Louis Gluckstein (1897–1979), British lawyer and politician Montague Gluckstein (1854–1922), British businessman and co-founder of J. Lyons and Co. Montague Isidore Gluckstein (1886–1958), British businessman, son of Isidore Samuel Gluckstein, (1880–1958), British lawyer and politician Samuel Gluckstein (1821–1873), Prussian-born British businessman, founder of Salmon & Gluckstein Steven Gluckstein (born 1990), American trampoline athlete Yigael Gluckstein, generally known as Tony Cliff, Palestinian Trotskyist theorist
Other Salmon & Gluckstein, British tobacconist