We investigated theoretically the magnetic field dependence of the quantum optical transition of quasi 2-Dimensional Landau splitting system, in CdS and ZnO. Through the analysis of the current work, we found the increasing properties of the optical Quantum Transition Line Shapes (QTLSs) which show the absorption power and the Quantum Transition Line Widths(QTLWs) with the magnetic-field in CdS and ZnO. We also found that QTLW, gamma(B)(total) of CdS < gamma(B)(total) of ZnO in the magnetic field region B<25 Tesla. (C) 2011 Elsevier B.V. All rights reserved.