José María Viesca y Montes (1787–1856) was a lawyer and Mexican politician aligned with federalist ideology, who served as Governor of Coahuila and Texas (1827–1830).
He was the uncle of former governor of Coahuila Andrés S. Viesca Bagües and was Regidor of the City of Parras.
Like his brother, Agustín, he joined Plan of Iguala on 5 July 1821, but his signature was not recorded in the minutes because of his absence.
In 1835, he opposed the centralist regime of Antonio Lopez de Santa Anna and Texas Independence, but he found little support for his federalist ideology.
[3] To commemorate both Viesca and Mexican President Anastasio Bustamante, the town of Alamo de Parras, in Coahuila, was named San José de Viesca and Bustamante.