The Boynton baronetcy, of Barmston in the County of York, was a title in the Baronetage of England.

It was created on 15 May 1618 for Matthew Boynton, son of Sir Francis Boynton (Sheriff of Yorkshire) of Barmston Hall, in the East Riding of Yorkshire.

The fifth and sixth Baronets both served as High Sheriff of Yorkshire, in 1750 and 1771 respectively.

The eleventh Baronet died without male issue and the Baronetcy passed to his cousin.

His estates however passed to his daughter Cicely (d. 1947) whose husband Thomas Lamplugh Wickham changed his name on marriage to Wickham-Boynton, and later (1989) to Cunliffe-Lister relations descended from Mary Constance Boynton, wife of the 1st Earl of Swinton.