We study superconductivitiy under light irradiation based on the Floquet-Magnus expansion in the high-frequency regime. We find that, in spin-singlet superconductors with spin-orbit coupling, triplet superconductivity can be induced in the first-order perturbation for dynamical gap functions and the second-order perturbation for static gap functions. We also show that, in unitary triplet superconductors with altermagnetism, nonunitary triplet superconductivity can emerge in the firstorder perturbation for dynamical gap function and in the second-order perturbation for static gap functions. These results indicate optical generation and control of triplet superconductivity.