In the course of rapid economic development, high-tech small and medium enterprises (SMEs) are gradually playing an important role, which become an important support to regional economic growth and science and technology progress. So SMEs growth becomes a universal problem, and how to evaluate the growth of SMEs becomes an important step, especially to high-tech SMEs growth. In this paper, catastrophe theory is used and a mutation series of high-tech SMEs growth evaluation index system is built. Taking Dalian high-tech SMEs as example, high-tech SMEs growth are evaluated, which contributes to high-tech SMEs growth forecast and formulate government policies to support high-tech SMEs development.