Lythgoe is a surname.
Those bearing it include:
David Lythgoe (born c. 1880), American actor
Ian G. Lythgoe (1914-2000), New Zealand accountant and public administrator
Clive Lythgoe (1927–2006), British musician
Nigel Lythgoe (born 1949), British dancer, director & producer
Bonnie Lythgoe (born c. 1950), British dancer and theatre producer & director
Alf Lythgoe (1907–1967), British footballer
Simon Lythgoe (born late 20th century), British-born film technician and producer
