The engagement of Princess Alexandra to Angus Ogilvy, second son of the Earl of Airlie, was announced on 19 November 1962 and they were married on 24 April 1963 in Westminster Abbey. Their two children are James, born in 1964, and Marina, born in 1966. Their children carry out no official Royal duties.

Sir Angus Ogilvy (who was knighted in 1989) was born on 14 September 1928. After leaving Eton he was commissioned into the Scots Guards and subsequently went to Oxford. Later he pursued a varied and successful career in the City of London, and he became chairman and/or director of a number of public companies.

His main commitments in later life were in the charitable field. He was Chairman of the Advisory Council of The Prince's Trust. He was a Trustee of King George's Jubilee Trust, The Queen's Silver Jubilee Trust and Leeds Castle. He was President of the Carr-Gomm Society and The Friends of UK Youth. He was Patron of Arthritis Care, and Vice-Patron of The Friends of The Elderly, Gentle Folks Help and NCH Action for Children.

He was also a member of the Royal Company of Archers, which is The Queen's ceremonial bodyguard in Scotland. His interests included architecture, reading and music. He was made a Privy Counsellor in 1997.

Sir Angus died on 26 December 2004, after several years of illness.