The name of the team changed in 1948, changing it to Sokol NV Bratislava. The team was successful in 1949, when they were the first champions from the newly formed Czechoslovakia. Some of the most notable players of this time were Emil Pazicky, Gejza Simansky Bozhin Laskov Viktor Tegelhoff, and Teodor Reimann.
Anton Bulla, the coach in 1953, brought in eight new players to the team. In 1961-62, the team defeated Red Star Bratislava in the national league to claim the title. Due to economic and political pressures as well as interest, TJ UNV Slovan and TJ Dimitrov merged to create CHZJD Slovan Bratislava on 5 August 1961. (CHZJD was the acronym as CHZJD, which stood for Juraj Dimitrov Chemical Plant).
1962 was a year of success in which 1962 saw the Czechoslovakia national team lost 3-1 at the 1962 FIFA World Cup Final in Chile and won the silver medal and reliving the glory of 1934's FIFA World Cup Final in Rome. Slovan players included goalie Viliam Schrojf, and the defender Jan Popluhar.
Slovan finished the 1967-68 campaign as the second-placed team in the league. They was awarded the trophy in Czechoslovakia and also participated in the Cup Winners' Cup of the UEFA Cup. The team was directed by the former Slovan players Michal Vican, who emphasized on games that were quick and easy to play. Vican led his team for a cold winter trip of Argentina in the year 1969.
The 21st of May, 1969, team lost to FC Barcelona in the 1969 European Cup Winners' Cup Final with 3-1. The players in the team included Ludovit Cvetler Vladimir Hrivnak, Jan Capkovic, Karol Jokl, Alexander Horvath, Jozef Capkovic as well as Alexander Vencel.
In 1970, the Czechoslovak team that was sent to Mexico for the FIFA World Cup in Mexico comprised seven Slovan players. Slovan: Alexander Vencel, Jan Zlocha, Ivan Hrdlicka, Karol Jokl, Jan Capkovic, Vladimir Hrivnak, and Alexander Horvath. Jozef Venglos was coach to the Slovan Bratislava squad for a part of the time in addition to performing duties as a coach at an international level.
In 1976, a Czechoslovakian team comprising six Slovan players claimed the European title at the European Championships which took place in Belgrade. Gold medals were awarded coaches Venglos, Alexander Vencel, Jozef Capkovic, Koloman Gogh, Marian Masny, Anton Ondrus, Jan Pivarnik, and Jan Svehlik. The 1977-78 season was the first time Slovan was declining. The 1984-85 season was the most successful. Slovan was coached by Jan Hucko and Jozef Obert were unable to compete at the highest competitive level and were dropped back to Slovan's National League. Slovakian National League.
After three years of the Slovakian National League, Slovan Bratislava could return to the national league. In 1987-88, the team was able to return into the elite leagues with coaching of Jan Zachar and Jozef Jankech who later served as coaches for on the Slovak National team. Dusan Galis was coach between 1977 until 1981. In 1991-92, Slovan Bratislava won the Czechoslovak title for the final time. Some of the players in the team included Peter Dubovsky, Dusan Tittel, Ladislav Pecko, Vladimir Kinder, Milos Glonek, Tomas Stupala, and Alexander Vencel (junior).