Monte Carlo simulation is performed to study the magnetic properties of mixed spin-1 and spin-3/2 ferrimagnetic systems in a one-dimensional spin chain with single-ion anisotropy.It is found that magnetization plateaus in external fields at ground state exist.A phase diagram of mixed spin-1 and spin-3/2 ferrimagnetic systems is obtained.The magnetic plateaus and the phase diagrams of the system are explained well with analysis of energy and spin configuration.