One-parameter discrete model estimating genetic distance between precursor and descendant nucleotide sequences after several steps of substitution acts is developed. This model based on the previously introduced symbol sequences enumeration procedure (M.Y. Shchelkanov, A.N. Yudin, A.V. Antonov, N.S. Starikov, A.A. Vedenov, E.V. Karamov, J. Biomol. Struct. Dyn. 15, 231-241 (1997)) differs from Jukes-Cantor and Kimura models by the absence of the assumptions usual for continuous Markov's processes. Formula obtained with the help of our model are more preferable since they take into account multiple repetition substitution ability and they are correct in the entire admissible range of parameters.