He was born in New Amsterdam, Berbice, the son of British Raj immigrants Evelyn Maude Mungal-Singh and Edward Luckhoo Alfred, a solicitor of Indian extraction,[1] and educated at Queen's College, Guyana and St Catherine's College, Oxford, where he was awarded a Bachelor of Arts degree.
[2] His grandfather Moses Luckhoo came from India as labourer on sugar plantations.
He was the brother of lawyer and diplomat Sir Lionel Luckhoo, who was the British High Commissioner for Guyana and Barbados.
Edward Luckhoo was married to Maureen Moxlow of Batley, West Yorkshire, on 9 November 1981.
In retirement, they returned to West Yorkshire, and lived in Ossett, where they were both active members of the Anglican Church, and catechists for Confirmation classes.