We study the absorption coefficient of a diluted magnetic semiconductor ellipsoidal quantum dot with Rashba spin–orbit coupling. The Schrödinger equation for a one-electron ellipsoidal quantum dot was solved within the framework of the effective mass approximation method. The wave vector and electron energy found during the solution were used to find an expression for the absorption coefficient. The article examines intraband optical transitions relative to changes in external parameters. The decrease in the absorption coefficient as a function of the energy of the incident photon was studied at different values of the magnetic field, the Rashba parameter, temperature, concentration of Mn atoms and the radius of the ellipsoid. According to the results obtained, these parameters significantly affect intraband optical transitions.