The influence of the plasmonic of three spherical metal nanoparticles (MNPs) on the semiconductor quantum dot (SQD) having three external fields, is analyzed. The density matrix equations are modified for the description of the optical properties of the SQD-MNPs nanosystem. We study theoretically the role of the plasmon-exciton dipole coupling in the SQD-MNPs nanosystem. We investigate the dependence of the plasmon-exciton dipole coupling of the SQD-MNPs nanosystem on the position of three spherical MNPs with respect to SQD as well as on the material parameters of the hybrid nanosystem. The direction and detunings of the three external fields play an important role on the characterization of the SQD-MNPs nanosystem.