Mexico has a rich history, and several of its cities boast ancient roots. Some of the oldest cities in Mexico include:

1. Teotihuacan: Although not a modern city, Teotihuacan was a significant Mesoamerican city that thrived between the 1st and 7th centuries AD. It is known for its impressive pyramids, including the Pyramid of the Sun and the Pyramid of the Moon.
2. Tlapacoya: This archaeological site, located near present-day Tlapacoya in the State of Mexico, dates back to around 8000 BC, making it one of the oldest known settlements in Mexico.
3. Tlatilco: Another ancient settlement in the State of Mexico, Tlatilco dates back to around 1500 BC and is known for its ceramics and sculptures.
4. Cuicuilco: Located near present-day Mexico City, Cuicuilco was established around 1200 BC and is known for its circular pyramid, one of the earliest of its kind in Mesoamerica.
5. Cholula: Cholula, located in the state of Puebla, is one of the oldest continuously inhabited cities in Mexico. It was founded around 500 BC and is known for its Great Pyramid, which is the largest pyramid by volume in the world.
6. Tenochtitlan: Founded in 1325 AD, Tenochtitlan was the capital of the Aztec Empire and is now modern-day Mexico City. It was built on an island in Lake Texcoco and was one of the largest and most powerful cities in the pre-Columbian Americas.

These cities have played significant roles in the history and development of Mexico and continue to be important cultural and historical sites today.