The Bridge of Independent Lists was founded in Metković on 17 November 2012 as a regionalist political platform. Božo Petrov was chosen as the first party president. In 2013, the Bridge of Independent Lists participated in the local elections in the town of Metković. The party won 46.25% of votes, and 9 out of 17 seats in the City Council. Božo Petrov won 45.78% of the votes and entered the second round of elections for the Mayor against Stipe Gabrić Jambo, incumbent mayor since 1997. In the second round Petrov won with 67.94% of the votes and became the mayor of Metković. At the same election, Bridge of Independent Lists won 9.97% of the vote in county elections and entered the County Assembly of the Dubrovnik-Neretva County.
After more than 40 days of negotiations and numerous turnarounds, Most decided to form a government with the Patriotic Coalition, giving them a slim majority of 78 seats. They nominated the Croatian-Canadian businessman Tihomir Orešković to be the next Prime Minister of Croatia. The government cabinet was formed on 22 January 2016 and party president Božo Petrov was named Deputy Prime Minister, together with HDZ's president Tomislav Karamarko. Along with Petrov, six ministers in the new government were proposed by Most: Interior, Justice, Administration, Economy, Agriculture and Environment. The new government was marked by strained relations between Most and the Patriotic Coalition, particularly over the INA, Croatia's national oil company, and the Ministry of the Interior. Several legislative proposals by the party were rejected by HDZ, including an amendment for reducing benefits of MPs, and the adoption of a new waste management plan. In May 2016 Most called for Karamarko's resignation over a conflict of interest, which the latter refused to do. After Orešković also requested his resignation, a vote of no confidence in the Prime Minister was initiated by HDZ. Three MPs of Most sided with HDZ and later formed their own party. 125 MPs voted in favour, 15 voted against, and 2 abstained. Both the HDZ and most of the opposition voted in favour, while Most voted against.
2016 parliamentary election
Following the collapse of the Orešković government in June 2016, an attempt was made by the Croatian Democratic Union to assemble a parliamentary majority which would support a new government, to be headed by Finance MinisterZdravko Marić. This attempt failed, however, and the main opposition party in Parliament, the Social Democratic Party of Croatia, began to gather signatures for an early dissolution of parliament so elections could be held by the end of the year. Following consultations within Most, its Members of Parliament agreed to sign the opposition's petition for an early dissolution, with the successful parliamentary vote on the issue taking place on 20 June 2016 and taking effect on 15 July 2016. President Kolinda Grabar-Kitarović set 11 September 2016 as the date on which elections were to be held. Most contested the early parliamentary election on its own and won 13 seats, which was a decline of 6 seats compared to the previous parliamentary election. However if post-election changes in the MPs party membership are taken into account following the previous election, Most actually gained one seat more than it held on the day parliament was dissolved on 15 July 2016.
Government of Andrej Plenković
Following the announcement of parliamentary election results Most chairman Božo Petrov declared that Most would be open to negotiations with either one of the larger parties if they accepted Most's seven conditions.