The statistical physics of the spin-3/2 Blume-Emery-Griffiths model on the Bethe lattice is studied by using the exact recursion equations. Exact expressions for the free energy, the Curie or the second-order phase transition temperatures as well as the magnetization and quadrupolar moment order parameters are found. The phase diagrams in (kT/J, D/J) and (kT/J,K/J) planes are presented in depth for various values of constants K/J and D/J, respectively. The phase diagrams are discussed and a comparison is made with the results of the other approximation methods. (C) 2002 Elsevier Science B.V. All rights reserved.