One-color two-photon excitation spectra of the ⁷F₀→⁵D₀ and ⁷F₀→⁵D₂ transitions of Sm²⁺ in SrF₂ have been measured at low temperature and their dependences upon photon polarization analyzed. Linewidths on the order of 0.2, 0.6, and 1.0 cm^-1 are obtained for the ⁷F₀→⁵D₀(A_1g), ⁷F₀→⁵D₂(E_g), and ⁷F₀→⁵D₂(T_2g) Stark components observed at 15 K, respectively. The ⁷F₀→⁵D₀(A_1g) transition is observed to be isotropic within experimental error, while the E_g and T_2g components of the ⁷F₀→⁵D₂ transition exhibit the anisotropic patterns expected in O_h symmetry. Calculations of two-photon transition intensities are conducted within the framework of the phenomenological model previously used for Sm²⁺ in MClF (M=Ba,Sr) and Eu³⁺ in LuPO₄, where the rare-earth ion occupies sites of C_4v and D_2d symmetries, respectively. The present results are compared and contrasted with those obtained in these previous cases.