Dynamic phase diagrams are calculated, within a mean-field approach, for the kinetic metamagnetic spin3/2 Blume-Capel model in the presence of a time-dependent oscillating external magnetic field using Glauber-type stochastic dynamics and six fundamental types of phase diagrams are found in the reduced temperature (T) and magnetic-field amplitude parameter (h) plane. The phase diagrams exhibit one, two or three dynamic tricritical points, and besides the paramagnetic (P), the antifeffomagnetic-3/2 (AF(3/2)), the antiferromagnetic-1/2 (AF(1/2)) phases, three coexistence phase regions, namely AF(3/2) + P, AF(1/2) + P, AF(3/2) + AF(1/2), exist depending upon the interaction parameters. The dynamic phase boundaries between the P and AF(3/2) phases are always second-order lines, but between the P and AFI/2 phases are second- or/and first-order lines. All other dynamic phase boundaries among the disordered, ordered phases and coexistence phase regions are first-order lines. We have investigated the influence of the crystal field interaction (D) and we obtain five different phase diagram topologies in (d, T) plane, d = D/,J'. We have also studied the influence of the frequency on the phase boundaries as well as the dynamic tricritical point and found that the topologies of the phase diagrams slightly change. (c) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.