Engineering vibration signals usually include nonstationary information. Time-Frequency analysis is one of the most popular methods in nonstationary signal processing. Synchrosqueezing transform converts the time-scale plane of wavelet to the time-frequency plane, and improves the time frequency resolution. The surrogate method tests the stationarity in time-frequency plane. Stationarity testing is presented on synchrosqueezing transform time-frequency plane. Based local surrogate method, statistical properties of the amplitude spectra are analyzed, and stationary and nonstationary components are decomposed on the time-frequency plane. While retaining phase spectra of the original signal, the two components in time domain are recovered through inverse synchrosqueezing transform, thereby a method of decomposing a nonstaionary signal into stationary component and nonstationary component is presented. Numerical examples are given to illustrate the efficiency of this method.