The wavelet's analytical method has such characteristics as localization, multi-level and multi-resolution. It can be extensively applied in analysis and prediction of tourism economy time series. By analyzing the wavelet of international tourists since the reform and opening up of our country, we can conclude three topics. Firstly, growth of international tourists in our country has a long-term tendency and an oscillation cycle of 16 years and 6 years. Secondly, political environment and tourism policies are the most important factors affecting the tourists, emergencies are of minor factors. Holding political and economical stabilization of our country and remaining fine International image are keys to maintain stable growth of inbound tourism in our county after the financial crisis. Thirdly the tourism of our country isn't fragile; it is a industry which has very strong capacity to resist disturbances.