He was born circa 1660. His father was Francisco de Treviño, and his mother was Luisa Baez de Benavides Martinez.
He married Catalina de Treviño y Maya, daughter of Juan de Treviño and Ana de Maya on 20 Aug 1679 in Monterrey. He was 19 years old.
Francisco Baez de Treviño. He married Maria Magdalena de Elizondo, daughter of Pedro de Elizondo and Maria de la Garza.
Maria Baez de Treviño. She married Pedro Martinez Guajardo, son of Nicolas Martinez Guajardo and Micaela Guerra.
Lucia Baez Treviño. In 1701, she requested a dispensation to marry Jacinto de la Garza.
Luisa Baez de Treviño. She married Martin Peña, son of Alonso de la Peña and Maria de Cuellar in 1717.
Nicolasa Baez de Treviño, born 1687 in Monterrey. She married Cristobal Guerra Cañamar, son of Ignacio Guerra Cañamar and Catarina Fernandez.
Between 1703 and 1704, and again 1714 to 1717, he served as Governor of Nuevo Leon.
He died on 6 Jul 1726 in Monterrey. He was 66 years old.