Impact of texture type on the magnetic properties of ultrahigh density perpendicular magnetic recording media L1₀-FePt thin film was investigated, so were the texture formation and evolution mechanism. Reuss, Voigt, and Hill models were used to determine the anisotropic elastic modulus of L1₀-FePt thin film with fiber texture. Then, the elastic strain energies of thin films under various stress conditions were calculated. Results reveal that the stress condition has a significant influence on the fiber texture evolution. When the L1₀-FePt thin film is subjected to compressive in-plane strain prior to ordering phase transformation, the formation of {100} fiber texture is promoted. On the contrary, the ordering phase transformation under tensile in-plane strain promotes the {001} fiber texture formation.