In 1936, he married Ruth Alice Hannah Mary Primrose (18 April 1916 – 1989), daughter of the Liberal politician Captain Neil James Archibald Primrose and Lady Victoria Alice Louise Primrose, née Stanley, a granddaughter of the Prime Minister Archibald Primrose, 5th Earl of Rosebery.

They had three children:
Lady Caroline Victoria Wood (born 10 September 1937, died 15 November 2014), married, firstly, Randle J. Feilden in 1958 (divorced in 1970), secondly, John V. Gosling in 1970.

Virginia Mary Feilden (born 6 June 1959, died 24 March 1994)
Randle Charles Roderick Feilden (born 19 January 1961)
Fiona Caroline Feilden (born 26 January 1965)
Lady Susan Diana Wood (born 22 September 1938), married Brigadier Ian Darsie Watson in 1959.

David Charles Darsie Watson (born 29 July 1960)
Richard Ian Watson (born 30 January 1962)
The Rt Hon.
Charles Edward Peter Neil Wood, 3rd Earl of Halifax (born 14 March 1944)
The Hon James Charles Wood, Lord Irwin (born 24 August 1977) Heir Apparent to the earldom.

Hon.
Rex Patrick Wood (born 12 August 2010)
Hon.
Audrey Nancy Wood (born 23 January 2013)
Lady Joanna Victoria Wood (born 15 January 1980)
In 1936, he married Ruth Alice Hannah Mary Primrose (18 April 1916 – 1989), daughter of the Liberal politician Captain Neil James Archibald Primrose and Lady Victoria Alice Louise Primrose, née Stanley, a granddaughter of the Prime Minister Archibald Primrose, 5th Earl of Rosebery.
They had three children:
Lady Caroline Victoria Wood (born 10 September 1937, died 15 November 2014), married, firstly, Randle J. Feilden in 1958 (divorced in 1970), secondly, John V. Gosling in 1970.
Virginia Mary Feilden (born 6 June 1959, died 24 March 1994)
Randle Charles Roderick Feilden (born 19 January 1961)
Fiona Caroline Feilden (born 26 January 1965)
Lady Susan Diana Wood (born 22 September 1938), married Brigadier Ian Darsie Watson in 1959.
David Charles Darsie Watson (born 29 July 1960)
Richard Ian Watson (born 30 January 1962)
The Rt Hon. Charles Edward Peter Neil Wood, 3rd Earl of Halifax (born 14 March 1944)
The Hon James Charles Wood, Lord Irwin (born 24 August 1977) Heir Apparent to the earldom.
Hon. Rex Patrick Wood (born 12 August 2010)
Hon. Audrey Nancy Wood (born 23 January 2013)
Lady Joanna Victoria Wood (born 15 January 1980)
Charles Wood, 2nd Earl of Halifax