He married Angela de la Garza, daughter of Lazaro de la Garza Falcon and Petronila de Montemayor.
Manuel Gonzalez de Paredes. He married Juana Ramos de Arriola.
Estefana Gonzalez de Paredes. She married Joseph de Aguirre.
Lazaro Gonzalez de Paredes. He married Marcela Cardenas de Pinillas, daughter of Alonso de Cardenas Pinillas and Juana de Treviño. In 1728, he requested a dispensation to marry Luisa Margarita Garcia.
Mariana Gonzalez de Paredes. She married Francisco Ramos de Arriola, son of Juan Ramos de Arriola and Isabel Flores de Abrego on 3 Aug 1718.
Josefa Gonzalez de Paredes. She married Luis de la Fuente, son of Domingo de la Fuente and Teresa Cabello.