[1] A professor at New York Law School, Strossen is a member of the Council on Foreign Relations[2] and other professional organizations.

[3] Her maternal grandfather was an immigrant to the United States from Yugoslavia and was a conscientious objector during World War I, causing him to be publicly humiliated at the courthouse in Hudson County.

[3] She subscribed to a political philosophy of civil libertarianism, later recalling that "the rallying cries were reproductive freedom and the anti-war movement".

[3] Strossen was an attorney in private practice, first in Minneapolis, Minnesota, from 1976 to 1978, then in New York City at Sullivan & Cromwell from 1978 to 1984.

[10] In the spring of 1990, ACLU president Norman Dorsen announced that he would be stepping down, and Strossen emerged as one of four candidates to assume the position, winning on the second ballot.

[15] In October 2001, Strossen made her theater debut as the guest star in Eve Ensler's play, The Vagina Monologues at the National Theatre in Washington, D.C.[16] Having been appointed as the chaired John Marshall Harlan II Professor of Law in 2015, she teaches constitutional law and human rights.

[20] Strossen spoke at the inaugural gala for the Foundation for Individual Rights and Expression in New York City in April 2023.

[9] When she grew up, Strossen's mother prevented her from playing with dolls, an experience which she later suggested to have contributed in her choice not to have children.