This paper discusses labour value and the rate of exploitation in the global economy using international input-output tables. Labour value is defined as the multiplication of the labour coefficient and Leontief inverse. Exploitation means that the amount of labour embodied in the received wage commodity is less than the amount of the labour actually sold. Therefore, the Fundamental Marxian Theorem, which states that the conditions for the existence of profit and those for the existence of exploitation are the same, should be modified to stipulate that the existence of profit requires exploitation in at least one country. In other words, exploitation may not exist in some countries (nonexploitation). In the context of international input-output tables, we introduce the concept of global labour value, which is the vector of embodied labour in various countries. In the empirical study using an international input-output table, we find that (1) there are non-exploitation cases in several countries. (2) During the time period 1995-2009, the rate of exploitation increased in Asian countries, namely China, Japan, Korea and Taiwan, whereas the advanced countries other than Asia faced a decreased rate of exploitation.