We investigate the new agegraphic dark energy (NADE) model with power-law corrected entropy in the framework of Hořava–Lifshitz cosmology. For a nonflat universe containing the interacting power-law entropy-corrected NADE with dark matter, we obtain the differential equation of the evolution of the density parameter as well as the deceleration parameter. To study parametric behavior, we use an interesting form of state parameter as a function of redshift uL(z) = u0 + u1z. We find that phantom crossing occurs for the state parameter for a nonzero coupling parameter, thus supporting the interacting dark energy model.