Montezuma is an unincorporated community in San Miguel County, New Mexico, United States. It is five miles northwest of the city of Las Vegas, New Mexico, at the mouth of Gallinas Canyon. The area has long been known for its natural hot springs, the Montezuma Hot Springs, and was called "Los Ojos Calientes" and "Las Vegas Hot Springs" until the lat…Montezuma is an unincorporated community in San Miguel County, New Mexico, United States. It is five miles northwest of the city of Las Vegas, New Mexico, at the mouth of Gallinas Canyon. The area has long been known for its natural hot springs, the Montezuma Hot Springs, and was called "Los Ojos Calientes" and "Las Vegas Hot Springs" until the late 19th century. It was also known for its ice ponds, which supplied ice used across the country before mechanical refrigeration became available.