The task of international financial markets involves the exchange of goods and other economic activities between countries. International markets are developing based on the increase in international business. Uncertainty prevails on the international financial markets, various challenges and obstacles arise. Prominent threats to the international economy and finance are terrorism and money laundering. Special attention in the work is devoted to offshore centers. In the globalized financial network, offshore centers represent safe havens from unpredictable impositions by the state. For the most part, the operations of offshore centers are shrouded in secrecy, and that is precisely why there is interest in research. The subject of research is contemporary problems of international financing. The research is focused on money laundering and tax havens, which are also the objects of the research. The purpose of the research is to establish contemporary problems of international financing. The aim of the research is to provide an insight into contemporary international financial markets and then to present threats to the international economy and finance. In addition, the paper considers the issue of offshore centers and describes the case of Danske Bank.