Abstract: In this paper, with the spectral method, linear stationary responces in the atmosphere to SST anomaly (SSTA) are investigated using filtered anomaly model (FAM)which has a basis to be able to predict numerically weather process for the monthly or season scale. The teleconnection patterns, the stationary planetary wavetrans induced by SSTA in the atmosphere and sensitivity of atmospheric anomaly field to SSTA location and basic stream field have been analysed. The conclusions are as follows: First, it is pointed out that FAM has a ability to simulate the teleconnection patterns and stationary wavetrains forced by SSTA. Second, there are important influences of tropical heating anomaly- on stationary wave patterns at mid-high latitude. The remote influences of tropical heating source on the atmosphere at mid-high latitude are more important than the influences of local heating source in some cases. Third, from the results of numerical experiments, it is quite important to predict accurately the SST for the atmospheric prediction. Fourth, it is indicated from the numerical results of FAM that besides the wavetrain in the direction of the northeast of SSTA location, there is another wavetrain in the direction of the northwest of one. Fifth, there is a clear benefit using spectral method to solve the FAM equation rather than finite difference method. This is a quite satisfied method to solve FAM equation.