We theoretically study the influence of an intense electromagnetic wave (EMW) on the Hall effect in compositional semiconductor superlattices (CSSLs) with a periodical su- ~ 1 = (E1 , 0, 0) perlattice potential in the z direction, subjected to a crossed dc electric field E ~ and magnetic field B = (0, 0, B). By considering the electron-optical phonon interaction at high temperature, we obtain analytical expressions for the magnetoconductivity (MC) and the Hall coefficient (HC) with a dependence on external fields, the temperature of the system, and char- acteristic parameters of the CSSL. These expressions are fairly different in comparison to those obtained for bulk semiconductors. The influence of the EMW is interpreted by using the depen- dencies of the MC and the HC on the amplitude and the frequency of the EMW. The analytical results are computationally evaluated for GaAs/AlGaAs CSSL. The optically detected magne- tophonon resonance conditions are obtained. The HC reaches saturation when the magnetic field or the EMW frequency increases.