Gifted education has been implemented in Taiwan for forty years. Through the sprout, experimentation and development, current gifted education in Taiwan has been well improved both in quantity and quality. Nevertheless, there is a big gap of transition between gifted education at senior high school level and university level, resulting in an interruption of gifted education services at universities. This paper examined two-dimensional structure of programs implementation in other countries: university programs for highly talented undergraduate students, and enrichment programs for gifted students at senior high school level and under. The author continued to introduce the university programs offering for gifted students in Taiwan and propose future direction of promoting gifted education at universities.