Global Respect Act - Directs the President to submit to Congress a list of each foreign person that the President determines is responsible, or acted as an agent, for extrajudicial killings, torture, or other gross violations of internationally recognized human rights committed against an individual in a foreign country based on actual or perceived sexual orientation or gender identity.

Makes a listed foreign person ineligible to enter or be admitted to the United States. Requires revocation of any visa issued for such person.

Authorizes the Secretary of State and the Secretary of Homeland Security (DHS) to waive such prohibition if in U.S. national security interests or if necessary for compliance with the Agreement between the United Nations (U.N.) and the United States regarding the U.N. Headquarters. Requires congressional notification prior to any such waiver.

Directs the Assistant Secretary for Democracy, Human Rights and Labor to designate a senior officer or officers to track violence, criminalization, and restrictions on fundamental freedoms in foreign countries based on actual or perceived sexual orientation or gender identity.

Amends the Foreign Assistance Act of 1961 to include information on sexual orientation or gender identity violence or restrictions in the annual country reports on human rights practices.