Generally, gifted students are known as students who have incredible ability in learning faster. The ability in learning faster of gifted students which exceed their peer needs special education services properly to avoid students being underachiever. This article will present the definition, history and representation of how Indonesia government support education for gifted students in the last one decade. The development of gifted students in Indonesia is affected by the policy from Ministry of Education and Culture. This effect is showed by the government policy by developing some new programs and stopping the program for gifted students. The concern of the negative impact on the potential gifted students who are not being served will be discussed. The implication of the study showed theoretically the support of the government on gifted students' education is improving. However, practically, the government decision in gifted students' program development is limited by a stiff policy which causes inflexibility of gifted students. Besides students are not allowed to be free in deciding their chosen which is appropriate to their potential, this policy caused worries on the psychology aspect of the gifted students. This article provides the alternatives of decision making through some rational programs to solve the government worriedness.