LMP highlights what they see as the pointlessness of the current partisan division between the left and right-wing forces, and their principle is deliberative democracy, which they believe decreases the distance between the people and the political elite.

The public faces of the organization were András Schiffer, a former member of the Hungarian Civil Liberties Union (HCLU) and Védegylet, and Bernadett Szél, an economist and NGO worker at the party's formation.

The leading figures also included Benedek Jávor, university professor in environmental law and a founder of Védegylet, Gábor Scheiring, an economist, and Tímea Szabó, a humanitarian worker, who was to head the list presented for the 2009 European Parliament elections.

[14] Since its establishment and 2010 national election, LMP was kept under pressure by the Hungarian Socialist Party (MSZP) to achieve some kind of electoral compromise and cooperation against Viktor Orbán's controversial government.

For instance, during the by-election in the 2nd District of Budapest in 2011, MSZP urged the LMP's candidate Gergely Karácsony to withdraw in Katalin Lévai's favor, but the Green party did not do this.

András Schiffer also criticized the previous Socialist cabinets, blaming Ferenc Gyurcsány's disastrous governance for having Fidesz won a two-thirds majority in 2010.

[19] Jávor and his supporters (including Tímea Szabó and Gergely Karácsony) founded a platform within the party, called "Dialogue for Hungary" on 26 November 2012.

Party leader András Istvánffy called the developments that took place in opposition as "a cleansing process, which will separate those who seek to restore pre-2010 conditions and those who want real regime change.

[32] The candidate for Budapest mayor, Antal Csárdi, took just fourth place after István Tarlós, Lajos Bokros and Gábor Staudt.

[33] In a different point of view, LMP largely regained the positions, which had been lost during the party split in early 2013, for instance, then all three representatives in the General Assembly of Budapest joined Dialogue for Hungary.

Ákos Hadházy, a former Fidesz member, who revealed the government's tobacco shop corruption scandal, was also elected to the LMP's leadership.

[41] In these parliamentary election, LMP won 7.06 per cent of the votes and returned 8 members in the parliament (including one single-member constituency in Budapest).

During the 2022 parliamentary election, the LMP was a member of the United for Hungary, a broad coalition of parties seeking to oust the Orbán government, winning 7.0% of the vote and 8 seats.

In March 2024, the European Green Party formally suspended LMP’s membership due to its support of a Fidesz-linked candidate Dávid Vitézy for mayor of Budapest.