Leaders of the Night Watch movement, Dmitry Linter and Maxim Reva, were charged with organizing riots and face up to five years in jail.
Another group leader, Dmitry Klensky, said activists would gather outside the Prosecutor General's office in the city center, and would also "collect signatures in support of political prisoners Linter and Reva, and hand the signatures to the Estonian and European authorities."
The relocation on April 27 of the Bronze Soldier, a memorial to Soviet soldiers who died fighting in World War II, and the removal and reburial of soldiers' remains at the site, sparked a wave of angry protests both in Russia and Estonia, where ethnic Russians constitute about one third of the population.
Moscow issued strong protests, with some parliamentarians calling for cutting diplomatic ties with Tallinn.
The Russian leadership has repeatedly called the European Union's attention to Estonia's attempts to glorify Nazi Germany, and to its discriminatory policies relating to ethnic Russians whose families moved to the republic following its annexation by the Soviet Union at the beginning the war.
