Countering Russian and Other Overseas Kleptocracy Act or the CROOK Act This bill directs the Department of State to take various actions designed to combat public corruption in foreign countries. The State Department shall establish the Anti-Corruption Action fund to help foreign states fight public corruption and develop rule-of-law-based governance structures. A portion (5%) of fines and penalties imposed under the Foreign Corrupt Practices Act shall be deposited into the fund. The State Department shall (1) take primary responsibility in managing U.S. government efforts to fight foreign public corruption, and (2) establish an interagency task force to assist in coordinating such efforts. Each U.S. embassy shall have a point of contact responsible for coordinating the embassy's anti-corruption efforts. The State Department shall report to Congress on its anti-corruption activities and make various reports publicly available online.