This paper deals with the homogenization of the p-Laplacian reaction-diffusion problems in a domain containing periodically distributed holes of size ε, with a dynamical boundary condition of pure-reactive type. We generalize our previous results (see [2]) established in the case where the diffusion is modeled by the Laplacian operator, i.e., with p = 2. We prove the convergence of the homogenization process to a nonlinear p-Laplacian reaction-diffusion equation defined on a unified domain without holes with zero Dirichlet boundary condition and with extra terms coming from the influence of the nonlinear dynamical boundary conditions.