In order that the enterprises involved in the elementary school textbook business may understand that whether the competing activities they have been engaged in violate the FTL (Fair Trade Law) or not, this paper has collected cases relating to the elementary school textbook market that were decided by the FTC (Fair Trade Commission) since 1992, the year of FTC's establishment. By making use of the method of data analysis, system and comparison analysis and case analysis, this paper categorizes the types of those competition activities bear, constitutive elements required by the FTL and the effects upon the economy and social welfare. The main purpose of this appear is to find out as well as connect the relationship among the regulations for competing activities, the relative markets and the competing actives, so that the enterprises concerned may have rules to follow when they engaged in competition activities. One of the most significant contributions made by this paper is that it clearly indicates that promoting business by providing giveaways is helpful for the enterprise to create advantageous position when they conduct competing activities while on the other hand, such practice may also be involved in the violation of the FTL. Specifically, as the market for the elementary school textbook is gradually tending to become a monopolistic and/or oligopolies market, the issue of how to maintain the mechanism for market competition and en sure the fair competition will be a target that we must together strive to achieve.