The Taiji program is a space gravitational wave detection mission proposed by the Chinese Academy of Sciences, which uses laser differential interference to detect pm-level displacement fluctuations caused by gravitational waves between satellites. In order to eliminate the phase measurement error caused by the desynchronization of the clocks in satellites, the Taiji program intends to use the sideband multiplication transfer scheme to measure and eliminate inter-satellite clock noise. We discuss the requirements, principles, and methods of inter-satellite clock noise transmission of the Taiji program, and design experiments for the principle verification. By building an electronics experiment system, the limit value of the clock noise of the two systems was tested, the relevant parameters of the experiment were determined, and the principle of the sideband multiplication transfer scheme was verified by further optical experiments. The experimental results show that the clock noise cancellation scheme and related parameters proposed in this paper are reasonable and feasible, and are suitable for the needs of the Taiji program. Moreover, in the 0.05 Hz-1 Hz frequency band, the suppression effect of inter-satellite clock noise is better than 2π×10^-5 rad/Hz^1/2, which meets the noise requirements of the Taiji pathfinder and lays an experimental and theoretical foundation for the design of a clock noise transmission scheme and parameters of the Taiji program in the future.