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Pulsed field magnetization (PFM) was performed for the MgB2 bulk 30 mm in diameter and the applied pulsed-field dependence of the trapped field BTC, temperature rise ΔT and time dependence of the local field BLC(t) were measured on the bulk. BTC = 0.71 T was achieved at 14 K after applying the pulsed field of Bex = 1.55 T, where ΔT of about 10 K was observed. Numerical simulation of PFM was also performed and BTC, ΔT and BLC(t) were simulated. The results of the simulation reproduced the experimental ones qualitatively. The flux dynamics and the heat generation in the MgB2 bulk during PFM were in clear contrast with those in REBaCuO bulks because of a small specific heat, large thermal conductivity, and narrow temperature margin against the transition temperature Tc.