Money laundering involves the execution of actions that conceal the source of money or other property suspected to be illegally acquired in the country or abroad. The earliest beginnings of money laundering is associated with well known Al (Alphonse) Capone. Also the term of money laundering has been created because of the way he hid the true source of money. Revenue that it illegally gained from the sale of alcohol was presented as a laundry purchase. What we usually associate with the concept of money laundering is offshore. Offshore bank accounts are opened in a country other than the resident country of a company or a private person. The benefits of foreign bank accounts bring a number of benefits from the financial and legal aspects but some of the more important are: greater privacy, low or zero taxation and greater protection against local political or financial instability than in the country of residence. The most famous offshore zones are: State of Deleware, then Ireland, Nevada, New Jersey, California, Cyprus, Bahamas, Seychelles, British Virgin Islands, Netherlands Antilles, Gibraltar, Panama. Bank as a body of prevention money laundering and terrorist financing in Croatia is „ideal“ for this type of illegal activity because of the number of services and products which offer to an increasing number of parties. That is why its role in preventing money laundering and terrorist financing is general key to minimizing this number.