The Cheyenne Mountain Complex is a military installation and nuclear bunker located in Colorado Springs, Colorado at the Cheyenne Mountain Air Force Station, which hosts the activities of several tenant units. Also located in Colorado Springs is Peterson Air Force Base, where the North American Aerospace Defense Command (NORAD) and United States Northern Command (USNORTHCOM) headquarters are located.

What's the best answer to this question: is there a military base in colorado springs?
yes