He assumed the leadership of the Hasidut at the age of 28 upon the death of his father, Rabbi Yosef Tzvi Dushinsky, founder of the dynasty.

During Adar 1932, the ten-year-old Yisroel Moshe accompanied his father on a visit to Mandatory Palestine, where they brought mishloach manot to the Jerusalem sage, Rabbi Yosef Chaim Sonnenfeld, who was on his deathbed.

Sonnenfeld, who died a few days after this visit, blessed Yisroel Moshe with arichas yomim (long life).

[1] The next year, Yisroel Moshe, his parents, and 25 of his father's students[6] immigrated to Mandatory Palestine, arriving in the port of Jaffa on the ship Italia on August 28, 1933.

[1] Every day after the conclusion of the morning prayers, still wearing tallit and tefillin, he would deliver a shiur on the Shulchan Arukh and its commentaries.

He was unable to attend the wedding of his grandson, son of Rabbi Mordechai Yehuda, on March 25; he died the next morning at 3:15 am in the presence of family and close students.

[2] At the funeral, it was announced that his son, Yosef Tzvi, would succeed him as Grand Rabbi and head of the Dushinsky yeshiva.