The party was established on 30 June 2009 by Béla Bugár, Gábor Gál, László A. Nagy, Tibor Bastrnák and Zsolt Simon, who had previously left the Party of the Hungarian Coalition. Béla Bugár, who had also been the president of his former party for 10 years, was elected its president. It was established as an inter-ethnic Hungarian-Slovak alternative to the Party of the Hungarian Coalition. This commitment was cemented by electing Rudolf Chmel, an ethnic Slovak, as one of the party's vice presidents representing. The party seeks to represent the interests of the ethnic Hungarians while working together with the Slovaks. According to Peter Huncik about 60 to 65 percent members are Hungarians, while 35 to 40 are Slovaks. This programme and political ideology manifested itself in the party first taking part in the centre-right Radičová-government between 2010 and 2012, and also cooperating with the centre-left Fico government in minority issues in the next electoral cycle. Polls from mid-September 2009 gave Most–Híd between 3 and 5.6 percent. An opinion poll by Focus in May 2010 gave Most–Híd 5.6% of the vote. In the 2010 election, the party received 8.12% of the popular vote, and thus won fourteen seats in the National Council. This, however, included four seats for the Civic Conservative Party's politicians embedded within the party's list of candidates. At the same time, Most–Híd's main rival, SMK-MKP fell short of the 5% threshold and thus did not gain any seats. In 2010, Most–Híd entered the four-party government of Iveta Radičová, and sought to advance its agenda, including in language rights, citizenship, agriculture and environmental policy. The government, however, turned out to be unstable and finally collapsed during October 2011, leading to snap elections. After months of steady polling between 6 and 9 percents, the party received 6.89% of the popular vote in the 2012 elections, winning 13 seats. As in 2010, SMK-MKP failed to reach the required threshold, leaving Most–Híd as the only parliamentary party representing the interest of the Hungarian minority in Slovakia. In the 2014 European elections, Most–Híd came in eighth place nationally, receiving 5.83% of the vote and electing 1 MEP. In the 2016 Slovak parliamentary election, Most–Híd received 6.50% of the vote — 11 seats — and joined Fico's Third Cabinet as a coalition partner.