Bray attended Kingswood School, Bath (1942–48) and Jesus College, Cambridge and was a Choate Fellow at Harvard University. He also worked as a research officer at the Department of Applied Economics at the University of Cambridge, working with future Nobel Laureates Professor Sir Richard Stone and Terry Barker on the Cambridge Growth Project.
Bray contested Thirsk and Malton for Labour in 1959. He was first elected MP for Middlesbrough West in a 1962 by-election, serving there until he was defeated in the 1970 general election. He was then MP for Motherwell and Wishaw from October 1974 to 1983, and for Motherwell South from 1983 until his retirement in 1997.
- Times Guide to the House of Commons, Times Newspapers Limited, 1966, 1992 and 1997 editions
- Obituary of Jeremy Bray, The Guardian
- Hansard 1803–2005: contributions in Parliament by Jeremy Bray
|Parliament of the United Kingdom|
| Member of Parliament for Middlesbrough West
| Member of Parliament for Motherwell and Wishaw
|New constituency|| Member of Parliament for Motherwell South
|Party political offices|
| Chairman of the Fabian Society
1970 – 1971