Abstract: It is imperative to take the effect of general relativity into account when referring to the realization of time-frequency transmission in space at an ultra-high accuracy, so in this paper we consider a theoretical model of frequency transmission in the geocentric reference system at the level of 1/c^4 under the IAU2000 resolution about relativistic reference frames. In order to develop this model, we adopt the method of time transfer function which was once used to establish the processing model for ACES (Atomic Clock Ensemble in Space) mission, and to evaluate each possible relativistic effects on frequency during the period from the emission to the reception. Besides, the constraints about the accuracy of orbit determination and the interval between the reception and retransmission of the satellite in the link of \Lambda-configuration are valued so as to meet the requirement of the given frequency uncertainty. It will have a potential reference and application value for realizing the high-precision spatial time-frequency transmission, and carrying out related scientific researches and tasks in China.