Juda was influenced by his older brother Abram Grossman, who in 1897 formed the Elisavetgrad circle of the South Russian Workers' Union, which included uda.

At the end of 1904, returning from emigration to the Russian Empire, Grossman settled in Bialystok, where at that time a group of anarchist-terrorists "Bread and Freedom" was formed.

During the 1905 Russian Revolution, Grossman organized groups of the Black Banner in Odessa, Nikolaev, Yelisavetgrad, Ekaterinoslav and Kyiv.

He published the illegal newspaper Black Flag, in which he called on revolutionaries to terrorize and to organize bloody riots against the government.

In early 1907, as the leader of the Black Banner group in Kyiv, he was elected a delegate to the International Anarchist Congress of Amsterdam.

He actively supported the Bolsheviks in the October Revolution, and in late 1917 - early 1918 organized the Bureau of Anarchists of the Donetsk Basin.

In early 1919, Grossman was one of the organizers of a group of "Soviet anarchists" who recognized the dictatorship of the Bolsheviks as necessary for the "transition period" to anarchism.