In 1947 the team began its life as the American football squad of Mexico City College with the nickname los Aztecas.

That same year the squad was admitted into the most important American football conference in Mexico, Liga Mayor.

On October 18, 1949, "the Green Wave" had a match against the leading team, the Pumas Dorados de la UNAM.

The UDLAP squad defeated the UNAM Cóndores in 1995 and the Borregos Salvajes of Tec de Monterrey in 1996 and 1997.

However, in the early 2000s the team declined, failing to make the championship game in 2000 and missing the playoffs entirely in 2001.

In 2010, the Aztecas jumped from the ONEFA to the new CONADEIP Premier League, which primarily includes teams from private institutions.

In 2016, the Aztecas earned their first undisputed title in 19 years, winning the CONADEIP and beating back Tec de Monterrey 43–40.

[8] The most known rivalry is against the Águilas de la UPAEP, another private school in Puebla city.