In 1976, Neuberger married Angela Holdsworth, the TV producer and writer.
They have three children, Jessica, Nicholas and Max, who are all solicitors.
Neuberger's sister-in-law, through his brother Anthony Neuberger, is Julia Neuberger, Baroness Neuberger, Senior Rabbi of the West London Synagogue.

Neuberger was Chairman of the Schizophrenia Trust from 2003 to 2013, when it merged with and was subsumed by Mental Health Research UK: he is now a Trustee of MHRUK.
He was a Governor of the University of the Arts London between 2000 and 2010.
He was President of the British Records Association from 2009 to 2012, in his capacity as Master of the Rolls.

On 18th May 2020 he was appointed as Deputy President of The Academy of Experts due to replace Mark Saville, Baron Saville of Newdigate as President in late 2020.
In 1976, Neuberger married Angela Holdsworth, the TV producer and writer. They have three children, Jessica, Nicholas and Max, who are all solicitors. Neuberger's sister-in-law, through his brother Anthony Neuberger, is Julia Neuberger, Baroness Neuberger, Senior Rabbi of the West London Synagogue.
Neuberger was Chairman of the Schizophrenia Trust from 2003 to 2013, when it merged with and was subsumed by Mental Health Research UK: he is now a Trustee of MHRUK. He was a Governor of the University of the Arts London between 2000 and 2010. He was President of the British Records Association from 2009 to 2012, in his capacity as Master of the Rolls.
On 18th May 2020 he was appointed as Deputy President of The Academy of Experts due to replace Mark Saville, Baron Saville of Newdigate as President in late 2020.
David Neuberger, Baron Neuberger of Abbotsbury