Abstract: This paper deduces and sums up the principle and optimizing object of constructing the frequency transition function according to the characteristic of differential frequency hopping system. Also, a kind of effective constructing technique is put forward, and the merits in improving the performance of BER and randomicity of frequencies sequences are proved in theory. The technique is based on multi-dimension space transform, the realizing of this technique is convenience, and it is easy to control the secret key of frequency hopping.