Alamo Heights is an incorporated city that is surrounded by the city of San Antonio in Bexar County in the U.S. state of Texas. At the time of the 2010 census, the population of Alamo Heights was 7,031. It is part of the Greater San Antonio metropolitan area. A portion of the University of the Incarnate Word is in Alamo Heights. The current mayor of Alamo Heights is The Honorable Bobby Rosenthal.