The single-sheath temperature probe(SSTP) is widely used to measure the total temperature of gas flow in engine.This paper describes a dynamic modeling of the SSTP by the methods of system identification according to the dynamic calibration data of the SSTP.On the base of its modeling,a kind of fast arithmetic of dynamic compensation is used for getting transfer function of dynamic compensator of SSTP,which is the base for the hardware design of dynamic compensator of the SSTP.