In 1962 the Licoreros de Pampero team, which was founded in 1955, was sold for the symbolic price of one Bolívar by his owner Alejandro Hernández to José Antonio Casanova, who was considered the greatest Venezuelan manager at the time.

In their first season, the Tiburones finished with a 23–19 record, missing the finals disputed between the Leones del Caracas and Industriales de Valencia.

La Guaira club would have to wait until its third season to win the first league championship, in a five-game confrontation against the Leones.

La Guaira was managed by Casanova until that year, and had remarkable players such as MLB Hall of Famers Luis Aparicio and Rollie Fingers, and Ángel Bravo, José Herrera and Elio Chacón as top Venezuelan figures.

Marked by the death of three generations –past, present and future– of the team, the Tiburones tried to repeat their glorious performances of the 1970s and 1980s in the 2000–2001 season under manager and former player Luis Salazar, almost clinching a playoff spot.