Coke was the son of Sir John Coke of Melbourne Hall and his wife Mary Powell, daughter of John Powell of Presteign Herefordshire. His father was an Member of Parliament and secretary to King Charles I. Coke lived at Melbourne Hall after his father gave it up for him and was knighted during the lifetime of his father.
He supported the Parliamentarian side during the English Civil War. In 1646 he was one of the receivers for the money raised for disbanding the forces in Derbyshire. He was then one of the nine commissioners appointed to take charge of King Charles I after he had been captured and handed over by the Scots.
The commissioners remained with the king at Holdenby House Northamptonshire and went with him to Hampton Court Palace where he escaped.
After the execution of the King, Coke went to Paris where he died at the age of 43. Coke married Elizabeth Willoughby, widow of West Willoughby and daughter of Timothy Pussey on 25 July 1633 and died without issue.
In November 1640, Coke was elected Member of Parliament for Derbyshire for the Long Parliament He held the seat until his death in 1650. Coke was a member of the committee of sequestrators appointed for Derbyshire on 31 March 1645 and of another for raising money for the maintenance of Fairfax"s army during 1644.
