Bramston, the son of Sir John Bramston and Bridget, daughter of Thomas Moundeford, M.D., of London, was born in September 1611, at Whitechapel, Middlesex, in a house which for several generations had been in possession of the family. His mother died at thirty-six; her son was decoted to her memory. After attending Wadham College, Oxford, he entered the Middle Temple, where he had as chamber fellow Edward Hyde, afterwards Earl of Clarendon. Throughout life he continued on terms of intimate friendship with Hyde, who presented him with his portrait, the earliest of him now known to exist, and engraved for the edition of the "History of the Rebellion" published in 1816.
Bramston was called to the bar in 1635, and began to practise law with considerable success, until, in his own words, "the drums and trumpets blew his gown over his ears". He stood for parliament at the second general election of 1640 as a burgess for Bodmin in Cornwall, but failed to secure the seat in the Long Parliament. On his father's advice, he sold his chambers in the Temple on the outbreak of the Civil War, he removed with his family to his father's house at Skreens. At his father's death in 1654 he succeeded to the property. After the dismissal of Richard Cromwell and George Moncks march to London, he served as Knight of the Shire for Essex in the Convention Parliament, and supported the motion for the Restoration.
After the Restoration
On 23 April 1661, at the coronation of Charles II, Bramston was created a Knight of the Bath, after refusing a baronetcy on account of his dislike to hereditary honours. The same year Bramston was re-elected MP for Essex in the Cavalier Parliament. Subsequently, he frequently acted as chairman in committees of the whole house. In 1672 an accusation was brought by Henry Mildmay, before the council against him and Francis, his younger brother, of being papists, and receiving payment from the pope to promote his interests. The chief witness was a Portuguese, Ferdinand de Macedo, whose evidence bore unmistakable signs of falsehood. Charles II is said to have remarked concerning the affair, that it was "the greatest conspiracy and greatest forgerie that ever he knew against a private gentleman". Bramston was returned to Habeas Corpus Parliament of 1679 for the constituency of Maldon, but did not sit in the Exclusion Bill Parliament later the same year or in the Oxford Parliament that assembled for a week in 1681. He sat for Maldon in the first and only parliament of James II in 1685, but failed to secure a seat in a subsequent election. After the restoration between 1660 and 1688 Bramston was active in other public offices he was a justice of the peace, deputy lieutenant and vice-admiral of Essex, high steward of Maldon, and a committee member for parliamentary tax assessment. He died 4 February 1700, leaving his estate to Anthony his third son and heir.
Family
In 1635, Bramston married Alice, eldest daughter of Anthony Abdy, alderman of London, took a house in Charterhouse Yard. She preceded him dying in 1647. She was buried in Roxwellparish church close to her father in-law, and on his death in 1700 he was buried near to them. They had six sons and four daughters although not all of them outlived their parents.