Lambton was the eldest son of Henry Lambton and his wife Mary Davison, daughter of Sir Alexander Davison of Blakiston.
Lambton was returned unopposed as a member of parliament for County Durham at the English general elections of 1685, 1689,[1] 1690 and 1695.
He did not stand in 1702 and was next returned as MP for Durham County at the 1710 British general election.
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