The trapped field properties during pulsed-field magnetization (PFM) have been investigated numerically using three different assumptions relating to the Jc(B, T) characteristics (Jirsa, Kim and Bean models) and compared with experimental results. The trapped field properties using the Jirsa model with the so-called ‘peak effect’, in which a realistic Jc(B, T) is assumed, rather than the Kim model, result in a more realistic numerical simulation. The trapped field properties using a Kim model with a monotonically decreasing Jc(B) also show similar results to those using the Jirsa model. The trapped field properties using a Bean model, for which Jc is independent of magnetic field, are not necessarily enhanced because of a larger temperature rise. The numerical results suggest it is necessary to fabricate REBaCuO bulks with Jc(B, T) characteristics with moderate magnetic field and temperature dependences to enhance the trapped field by PFM.