Coalbed methane iS unconventional natural gas．Its production iS influenced by many factors．and the numerical simulation process is complex and the data is dificult to obtain．This paper selected three kinds of dynamic analysis methods to predict the production，including W eibull model，generalized Weng model and H—C—Z mode1．The result shows that the linear relationship of the H—C—Z model does not match the coalbed methane exploration mechanism，and the prediction error is large；the generalized Weng model can predict the peak production with high accuracy，but the time prediction error is large，SO it is dificult to meet the accuracy requirements；the W eibull model can predict both the peak production and the appearance time accurately．Therefore，the W eibull model is more suitable for the prediction of coalbed methane production．