This paper describes the basic principles, the calculation method, the path graph, the analysis methods of latent growth curve model (LGM) and its application in gifted education practices. First, we state the basic features of LGM model, including basic assumptions, formulas and construct. Then we explains how to conduct LGM and application of the path graph, in order to sketch out LGM application in gifted education. At last, we provide suggestions of LGM to gifted education on practical and its benefits. In addition, we also make some points of LGM application in gifted education: (1) to explore the entire growth of gifted students by combining longitudinal study and cross-sectional study. (2) to find the conditions and factors of effecting the growing rate of gifted students. (3) to systematically understand the long term effects on gifted students due to gifted education. (4) to help teachers understand their teaching effectiveness and the learning outcomes of gifted students, in order to correct the teaching materials and methods.