On 3 May 1637 Bampfylde married Gertrude Coplestone (d. 1658), a daughter of Amias Coplestone (1582–1621) of
Copleston in the parish of
Colebrooke and of
Warleigh House in the parish of
Tamerton Foliot, both in Devon. She was a co-heiress to her brother John V Coplestone (1609–1632), and inherited amongst other properties the manor of Tamerton Foliot, which thus passed into the Bampfylde family. The Bampfylde family used Warleigh House at Tamerton Foliot as a secondary seat. By Gertrude, he had thirteen children, eight daughters and five sons. ==Death and succession==