The club was officially founded on 21 June 1921 under the name "Sportivo Godoy Cruz", and changed to its current name on 25 April 1930 after the fusion with "Deportivo Bodega Antonio Tomba".

The club won the Mendoza first division championship in 1944, 1947, 1950, 1951, 1954, 1968, and also in 1989 and 1990 that qualified to play in the defunct Torneo del Interior national-level tournament.

Godoy Cruz under Omar Asad's management during the 2010 Clausura can be considered as a turning point in the club's success in top-level competition, earning accolades from both fans and sport journalists alike.

In that tournament, they achieved the best-ever point total (37) at the time, for a team indirectly affiliated to the Argentine Football Association (meaning clubs under the administration of the Consejo Federal (Federal Council) branch of AFA, which are teams outside Buenos Aires, Greater Buenos Aires, Rosario and Santa Fe).

In 2014, Godoy Cruz would play the second Copa Sudamericana, being eliminated before Club Atlético River Plate (champion of the edition of this tournament) in parties of ida (0:1) and return (0:2).

In 2017, Tomba will play for the third time in its history of the Copa Libertadores, fruit of the good championship that secured in 2016, and thus achieving the classification of the name of the tournament.

A memorable friendly played in 1964, against Santos Football Club, with soccer star Pelé ended in favor of the Brazilian team by a score of 3-2.

Godoy Cruz won the summer 2009 edition of the friendly pentagonal cup known as the "Copa Ciudad de Tandil", after defeating both Chacarita Juniors and Quilmes in penalty shootouts.

AFA applied changes to the "Reglamento General" competition rulebook in 2005, leading to the club's stadium no longer meeting the new standards indicated in Article 74.

These campaigns have accomplished to this date the repair and repainting of the grandstands, as well as some general refurbishments to the roof and unfinished pressbox structures and perimeter fencing of the turf.

The restrictions on stadium capacity were exempted amidst the on-going global COVID-19 pandemic which in Argentina implied severe reductions to public access at sporting events.

The club, along with volunteering fans,[16] set forth on more renovations, which included full stadium repainting, rebuilding the previously unfinished press cabins, new pavement ingress areas for the club busses, new expansions to the dressing rooms, new pitch line dimensions (a 2m increase of length to 105m by 68m),[17] as well as new stadium LED floodlighting suitable for night-time HD broadcasts which was earmarked for future install.