 Salusbury was born in March 1612, the eldest son of Sir Henry Salusbury of Lleweni, the first of the Salusbury Baronets.After spending some time at Jesus College, Oxford without taking a degree, he entered the Inner Temple in November 1631 but left in July 1632 on the death of his father to take control of the family estate at Lleweni Hall, Denbighshire.He was a member of the commission of the peace for Flintshire and Denbighshire, Wales and was elected to the common council of the Denbigh corporation in 1632.