He was son of Richard Puleston of Emral, Flintshire, by Alice, his wife, daughter of David Lewis of Burcot in Oxfordshire.
He was a member of the Middle Temple, and reader of his inn in 1634, was recommended by the House of Commons as a baron of the exchequer in February 1643.
With Francis Thorpe, he tried John Morris, governor of Pontefract Castle, at York assizes for high treason in August of the same year.
He was a commissioner in April 1650, under the proposed act for establishing a high court of justice, and was placed in the commission of December 1650 for the trial of offenders in Norfolk.
[2] During the Interregnum, it is now recognised, a group of barristers from the common law tradition, as justices, preserved it as an active force in the judiciary.