<p>Acceleration of electrons by a weakly relativistic ponderomotive force, driven by an intense circularly polarized Gaussian laser pulse undergoing self-focusing and self-compression in magnetized plasma, is numerically studied. By calculating the ponderomotive force and modified electron density distribution, sets of coupled differential equations are derived to describe the spatiotemporal evolution of the laser pulse as well as the electron energy in the magnetoplasma. The influence of the laser’s polarization state (right-hand or left-hand circularly) and the magnetic field on the spatiotemporal dynamics and energy gain is investigated. The results showed that, due to the weakly relativistic ponderomotive force, the laser pulse undergoes self-focusing and self-compression, which induce transverse oscillations in the electrons, leading to a significant net energy gain. It is also shown that, for the right-handed polarization, an increase in magnetic field strength enhances both the self-focusing and self-compression of the laser pulse, resulting in a higher intensity as the pulse propagates through the plasma, which subsequently increases the electron acceleration. Conversely, for the left-handed polarization, an increase in the magnetic field strength diminishes the effectiveness of these processes, thereby weakening the electron acceleration mechanism.</p>