An analysis of the impact of the magnetic field, potential depth and the screening parameter on the nature of the energy eigen values of Lead Selenide is done in this study. By using Hulthen-Yukawa Potential Model (HYPM) in an applied magnetic field, the Schrödinger wave equation (SWE) is solved analytically using the Nikiforov-Uvarov (NU) method to get the solution of the SWE in D-dimensions. With the energy equation obtained, the numerical values were generated with the aid of the Maple software. An investigation of how the magnetic field, the potential depth and the screening parameter affect the energy spectra was done. We observed from our graphical plots that as the values of the applied field are increasing, the energy eigenvalues also increased for the different dimensions. The eigen values decreased proportionally with increase in the potential depth. We also observed that as the values of the screening parameter are increasing, the energy eigenvalues increased as well.