Countering Russian and Other Overseas Kleptocracy Act or the CROOK Act This bill requires various actions designed to combat public corruption in foreign countries. The bill establishes within the Department of the Treasury the Anti-Corruption Action Fund to help foreign states fight public corruption and develop rule-of-law-based governance structures. For certain fines and penalties imposed under the Foreign Corrupt Practices Act, an additional fine shall be imposed and deposited into the fund. The Department of State must (1) manage 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 must have a point of contact responsible for coordinating the embassy's anti-corruption efforts. The State Department must report to Congress on its anti-corruption activities and make various reports publicly available online.