In this study, the optical properties of Mn Doped Semi-Magnetic Semiconductor Elliptical Quantum Dots under the external magnetic field were investigated in detail using the practical mass approach. First of all, the wave function and energy spectrum of the particle were obtained analytically. Then, the absorption coefficient was obtained for the optical transitions between the bands. The variation of absorption coefficient as a function of the energy of the incident photon was investigated according to parameters such as temperature, magnetic field, and Mn concentration. It was observed that the spin separation of the electron and hole became more pronounced as the magnetic field value increased. The magnetic field value increased, and the absorption maximum increased and shifted to the left according to the incident photon's energy. The spin splitting of the electron and hole decreased was observed as the temperature increased. It was also observed that as the temperature value increased, the absorption maximum decreased and shifted to the right according to the energy of the incident photon. It was observed that as the Mn concentration increased, the spin splitting of the electron and hole became more pronounced. In addition, as the Mn concentration increases, the absorption maximum increases and it is observed that the incident photon shifts to the left according to its energy.