Cust was the son of Samuel Cust and Ann Burrell. He represented Lincolnshire in the House of Commons in 1653 and Stamford from 1679 to 1685. In 1677 he was created a Baronet, of Stamford in the County of Lincoln.
Cust married Beatrice Pury, daughter of William Pury, in 1644. He died in August 1700, aged 78, and was succeeded by his grandson Richard Cust. The latter's son Sir John Cust, 3rd Baronet, served as Speaker of the House of Commons from 1761 to 1770.
|Parliament of England|
| Member of Parliament for Stamford
With: William Hyde
|Baronetage of England|