Ulisses Football Club was initially founded in 2000 under the name Dinamo-2000 FC. Over the course of the years that followed, the team underwent several name changes, coinciding with different sponsorship agreements. In 2004, the team became known as Dinamo-Zenit, while in 2006, the current name was adopted. The club have risen to prominence over the course of recent seasons and have started to compete for major honours.
The year 2010 brought about a significant moment in the team's history, as Artak Harutyunyan was named as the club president. Harutyunyan oversaw several changes, including the building of a new head office, a change of stadium and the reconstruction of the side's football academy, known as Shengavit.
The Harutyunyan era began promisingly and in 2011, Ulisses were able to win their first ever Armenian Premier League title. In the process, they were able to stop the dominance of FC Pyunik, who had won ten titles in a row before then. In both the 2010-11 and 2011-12 seasons, Ulisses entered the UEFA Europa League at the first qualifying phase of the competition, but failed to progress beyond it. In the 2012-13 campaign, they made their debut in the qualifying rounds of the UEFA Champions League.
Notable former players include Georgi Krasovski and Artyom Adamyan, who both played a vital role in the club's sole league title success. Eventually, Artur Kocharyan finished the season as the league's golden boot winner, having scored 15 goals in total.
Ulisses' home matches are played at the Republican Stadium, the full name of which is the 'Republican Stadium named after Vazgen Sargsyan', taking its name from the former Armenian prime minister. The venue, which was built in 1935, has undergone several redevelopments, with the most recent one coming in 2008. At present, it is able to hold up to 14,403 supporters. Republican Stadium is also the home stadium of the country's national football team.