Jaiba Brava

The club was founded on September 5, 1982 when the city of Tampicomdecided to buy out a struggling club made up from players from the Atletas Campesinos and some from the precursor club, C.D. Tampico A.C, that had been relegated and dissolved. That year the club struggled once again, finishing 14th in the league. The following year, the club would earn 9th place.

The 1986 FIFA World Cup held in Mexico was split into two short tournaments, the Prode 85 and Mexico 86. In the Prode 85 the club finished 1st in group 1 and qualified to the playoff series. In the quarterfinals the club defeated Cruz Azul 4–2. In semifinals the club defeated Puebla 5–4. In the finals the club went up against Club América, managing to beat América 4–1 in both the first match and the second. In the Mexico 86 the club would once again reach the finals, this time after defeating Atletico Morelia in quarterfinals and Club América in semifinals. The club would go up against Monterrey in the finals winning the first match 2–1 but once again losing the second match 2–0 and finishing runner up. The club would qualify to the playoffs again in the 1988–89 tournament. This time a short tournament play-off round was played with clubs Cruz Azul, Pumas de la UNAM and Atlante. The club would finish 1 point behind Cruz Azul, who would go on to final against Club América. The following year the club finished 19th overall. The club was bought out by Querétaro F.C. and moved to Querétaro City.

In 1991, Antonio Pélaez Pier bought the Atlético Potosino franchise to return the team to competitions. The team was registered in the Segunda División. In 1994 the team was promoted to the First Division after defeating Irapuato in the championship final.

In the 1994-95 season the team played in the First Division, however, in the middle of the season the club was moved to Querétaro City and renamed Gallos Blancos TM, due to problems between the team owner and the oil workers' union, the stadium owners.

After 1995, the team came and went on several occasions, playing mainly in the Primera División 'A'. Between 1995 and 1998 the team was a reserves team of Club Puebla. In 2001, Águilas de Tamaulipas was promoted from the Second Division and took the name of Tampico Madero, however, the team only played one year until it was moved to La Piedad due to lack of support from local businessmen.

In 2005 the team returned to compete in the Primera División 'A', now as part of the sports structure of Atlante F.C. Tampico Madero served as the team's reserves for a few years and later as an independent club. However, in 2009 it was dissolved due to the reform of the league that established requirements that the club had not met. The club was able to continue playing in the third level of Mexican football because it kept its reserves squad that took part in that league and became the main team.

In 2010, the team merged with Universidad del Fútbol, and became part of the sports structure of C.F. Pachuca, for which Tampico Madero received youth players from. In the Torneo Independencia 2010, the team was runner-up in the league after being defeated by Celaya. In 2014 the club became independent from Pachuca.

In 2015 the Grupo Tecamachalco took charge of the club with Javier San Román as president. In the Clausura 2016 tournament the team won the championship of its division and played in the playoff against Potros UAEM, where the club was defeated.

In the summer of 2016 Grupo Tecamachalco signed an agreement with Grupo Orlegi. With this agreement Tampico Madero obtained a franchise in Ascenso MX, the second category of Mexican football, where the team was officially renamed as TM Fútbol Club. In 2018 Grupo Tecamachalco abandoned the operation of the club due to the possible elimination of the right of promotion for the clubs of the Ascenso MX to the Liga MX. After this event, Tampico Madero continued in the league, but became a training team for Santos Laguna and Atlas, the Orlegi clubs that participate in the Liga MX.

In the spring of 2020, Ascenso MX was in a financial crisis from the COVID-19 pandemic and the loss of television income and fans suffered by the clubs, so the league became a youth football development tournament and promotion to Liga MX was abolished in exchange for member clubs receiving financial aid from teams in the highest category of Mexican football. The league was renamed as Liga de Expansión MX.

In December 2020, Tampico Madero became the first Liga de Expansión champion after defeating Atlante F.C. in the final. In May 2021 the team lost the champions trophy against Tepatitlán F.C. In December 2021, the team was runner-up in the league after falling to Atlante in a repeat of the 2020 final.

At the end of 2021, problems began to arise between Grupo Orlegi, the owner of the club, and the oil workers' union due to the worse state of the Estadio Tamaulipas, since both parties accused each other of not taking charge of the maintenance of the property. This terminated in the stadium being closed by the municipal government due to its poor conditions.

On April 20, 2022 Grupo Orlegi announced the end of the TM Fútbol Club franchise, which meant a new demise for the club. The next day the purchase of the franchise was announced by businessman Arturo Lomelí, who decided to move the club to La Paz, Baja California Sur and rename it Club Atlético La Paz.

After the end of the TM Fútbol Club franchise, local businessmen began efforts to bring a new team to the city. On June 22, 2022, the new project was officially presented, the team was renamed Club Deportivo y Social Tampico Madero and played in the Liga Premier de México between 2022 and 2024. The new team emerged after acquiring the Atlético Reynosa franchise, which had been on hiatus since 2020. Enrique Badillo was appointed as the president of the club and Gastón Obledo as manager. In the first tournament for the new franchise, Tampico Madero dominated their competition and became the favorites to win the championship, however they were defeated in the final by Tuzos UAZ with an aggregate score of 2–3.

In the Clausura tournament the team once again dominated the competition, so it advanced to the final phase. After eliminating Gavilanes de Matamoros and Cafetaleros de Chiapas, Tampico Madero reached the final against Inter Playa del Carmen, in the two games the teams tied at two goals, with an aggregate score of 4-4, for which a penalty shoot-out was necessary. Finally, Tampico Madero won the series 4-2 and won the championship.

Tampico Madero won the 2022–23 season Champions Trophy against Tuzos UAZ, in a series of matches that were impacted by violent incidents in the first leg held in Zacatecas. The series ended with a 1–0 aggregate. Although the team had won its right to promote to the Liga de Expansión through sports merits, this was denied by the Mexican Football Federation, considering that the team did not meet the requirements to participate in that league, so Tampico Madero should have remained in the Liga Premier.

In the 2023–24 season Tampico Madero revalidated its status as champion of the Liga Premier – Serie A by defeating Los Cabos United in the final in the final with an aggregate score of 4–1, although the team won the right to be examined for promotion to the Liga de Expansión, the board decided to purchase a franchise of a participating team in the higher category, pending approval by the League's regulatory authorities. On July 12, 2024, the assembly of Liga de Expansión owners approved the entry of Tampico Madero as a guest team of the Liga Premier, so the purchase of a franchise was not necessary to have the promotion. After its promotion to the category, the team was officially renamed Club Jaiba Brava due to regulatory issues regarding the team name.