Abstract : The banking or financial service provider and his customer must know if the professional acts in the zone of activity allotted by the approval of the proper authorities, the irregular exercise being liable to sanctions. The study carries out in first part a space delimitation of the zone of international effectiveness of the French provisions relating to the banking and financial monopolies, and attaches the activities deployed to that the market in second part. The space delimitation of the zone of activity leads to that of the market open to the person receiving benefits who wishes to exert in France and out of France. Without omitting the influence of the Community and international texts, it should be checked that all these texts apply in a territorial and not personal way. It is the pluriterritoriality. Then, it is necessary to examine the possible application out of the primitive space limits of each text, that is to say the extraterritoriality or the territoriality by prolongation.