Energy is one of the main driving factors of economic development. However, the economic growth model that relies too much on energy consumption will bring serious environmental pollution and greenhouse gas emissions. Therefore, the decoupling relationship between economic growth and energy consumption (that is, energy consumption no longer increases with economic growth) has attracted the attention of many scholars. This paper analyzes whether the economic growth in Liaoning Province is decoupled from energy consumption during the period of 1995-20 12 by using the Tapio decoupling index and the generalized LMDI decomposition method, and discusses various factors affecting the decoupling relationship. According to the positive and negative relationship between economic growth and energy consumption increment and the elasticity between them, Tapio decoupling index divides decoupling relationship into eight situations, such as weak decoupling, strong decoupling, recession decoupling and recession coupling, which is a more detailed analysis of decoupling relationship. The generalized LMDI decomposition law decomposes the representation of decoupling relationship into the results of energy intensity, energy structure, economic structure, investment effect, labor effect and many other factors.