In this paper the kinetics of Muon Catalyzed Fusion (μCF) in H/D/T mixture, considering the muon transfer from hydrogen isotopes (p,d,t) to helium isotopes (3 He , 4 He ) in the range of temperatures of 300 K < T < 1300 K at the density of Φ = 1 LHD, is presented. Calculation of cycling rate in different branches of fusion such as dtμ, ptμ, pdμ, ddμ, ttμ and energy gain showed that in certain physical conditions, the H/D/T mixture is comparable to D/T one. Finally the results of this research are compared with the experimental results reported by other researchers; and good agreements were found.