The function of the magnetocaloric heat pump with an active magnetic regenerator (AMR) cycle is based on the magnetocaloric effect (MCE) of a magnetocaloric material (MCM). Because the range within which the MCM exhibits an MCE is narrow near its Curie point, an AMR system with material layers, based on the arrangement of a couple of MCMs in the regenerator is needed. In order to estimate the influence of the packed number of MCMs, the refrigeration capacity and the generated temperature span of the magnetocaloric heat pump using the material-layered AMR are numerically evaluated in this study.