In 1965, Daniel and a friend of his, Andrei Sinyavsky, were arrested for a number of writings that they had had published overseas under pseudonyms (see Sinyavsky-Daniel trial).

In 1968, together with Pavel Litvinov, she prepared a letter addressed to the "world community" about the "Trial of the Four" (Yuri Galanskov, Alexander Ginzburg, Alexey Dobrovolsky, Vera Lashkova).

[1] As all participants, Bogoraz was arrested, tried and sentenced to four years of exile in Siberia, which she spent in a woodworking plant.

In 1975, she wrote a letter to Yuri Andropov, who was the head of the KGB at the time, requesting that he open the organization's archives.

After the demise of the Soviet Union, Bogoraz continued her activism, visiting prisoners and holding seminars on the defense of human rights.

Not long before her death, she issued an open letter condemning both the 1999 NATO bombing of Yugoslavia and the 2003 Iraq War.