In recent years, a lot of controversy has accumulated around the convergence in corporate governance. Some researchers expect substantial convergence in corporate governance practices, as well as company law, toward the Anglo-American model. For other researchers the differences between the various types of market economies will continue. Historical and cultural factors are the causes. The debate gained strength in the context of the financial crisis of 2007-2009. It was then that corporate governance failed, becoming one of the causes of the global financial crisis. In the following text I attempt to answer the following questions: (1) what are the basic differences in corporate governance systems, and how do they come about? (2) what is the convergence of corporate governance? (3) what are the driving forces of convergence in corporate governance systems in the world economy? (4) what are the main impediments of convergence in corporate governance systems? (5) what results from previous empirical studies on convergence?