The latter originated from the Trotskyist wing of the Organization of Marxists joined by independent leftists, for instance, former members of Direct Action, a syndicalist students' union.

Individual candidates of the Assembly of Social Revolution ran for the Kyiv City Council in the 2014 local election, but the main activity was in the area of street politics and protest performances.

[14][15][16] Manifesting solidarity with the workers of Kryvyi Rih, the organization chose this city to hold a number of its May Day actions (in particular, in 2018 and 2019), and also participated in the study of the amount of withdrawal of profits from the export of iron ore from Ukraine to offshore zones.

[27] A letter to the Western Left from Kyiv written by one of the Social Movement activists who joined Territorial Defense (Teroborona) units gained international publicity.

[30] The solidarity delegation that attended the conference of the SR in Lviv, dedicated to the development of the European Network for solidarity with Ukraine, included deputies and other prominent political figures from France (Olivier Besancenot, Catherine Samary, Mireille Fanon Mendès-France), Switzerland (Stéfanie Prezioso), Poland (Paulina Matysiak), Finland (Veronika Honkasalo), Denmark (Søren Søndergaard), and Argentina (Juan Carlos Giordano).

[33] On the basis of condemnation of the invasion of Ukraine, parties, initiatives and activists from different countries of the world, from Brazil to Hong Kong and Japan, established contacts with the SR.

[34] John McDonnell MP has praised the Social Movement for being “at the front of supporting progressive, trade union and environmental campaigns, strikes and demonstrations”.

[34] SR hosted a delegation of British left-wing activists and trade unionists, including Adam Price, Mick Antoniw, Julie Ward and Paul Mason, days before the Russian intervention.