Police Training and Independent Review Act of 2015

Requires states receiving funds under the Edward Byrne Memorial State and Local Law Enforcement Assistance Program, the Local Government Law Enforcement Block Grants Program, or the Edward Byrne Memorial Justice Assistance Grant Program to: (1) require all individuals enrolled in an academy of a law enforcement agency and all law enforcement officers of the state to fulfill a training session on sensitivity each fiscal year, including training on ethnic and racial bias, cultural diversity, and police interaction with the disabled, mentally ill, and new immigrants; and (2) certify to the Attorney General that such training sessions have been completed. Subjects a state that fails to comply to a reduction of up to 20% of such funds that would otherwise be allocated to the state. Authorizes the Attorney General to waive such requirements if compliance would violate a state's Constitution.

Directs the Attorney General to reduce by 20% the amount that would otherwise be awarded to a state or local government under such grant programs for a fiscal year if it fails to enact or have in effect by the end of the previous fiscal year a statute requiring the appointment of an independent prosecutor to conduct any criminal investigation and prosecution in which: (1) one or more of the possible defendants is a law enforcement officer, (2) one or more of the alleged offenses involves the law enforcement officer's use of deadly force in the course of carrying out that officer's duty, and (3) the law enforcement officer's use of deadly force resulted in a death or injury.