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In this paper we employ the Horava-Lifshitz black holes solutions and obtainthe corresponding Hamiltonian. It helps us to take new variables and it will bewritten by harmonic oscillator form. This leads us to apply non-commutativegeometry to the new Hamiltonian and obtain the corresponding Lagrangian. Andthen, we take some information from Finsler geometry and write the Lagrangianof the different kinds of Horava-Lifshitz black holes. We show that thecorresponding Lagrangian in non-commutative and Finsler geometry for abovementioned black holes completely coincidence together with some specificationof parameters. But in case of rotation, the place of center of mass energycompletely different, so the particle goes to inside of black hole rapidlywithout falling into singularity. So in that case, two Lagrangians cover eachother at $0<r<r_h.$

The relation between non-commutative and Finsler geometry in Horava-Lifshitz black holes