Stokes and anti-Stokes UV-visible luminescence was investigated in γ-irradiated Sc and Sc-Ce doped CaF2 crystals. Wideband Stokes luminescence under laser or CW lamp excitation was measured: (1) at 380 nm (luminescence decay time τ ∼ 17 μs) in Sc: CaF2 and Sc,Ce : CaF2 crystals, attributed to Sc2+ ions and (2) at 300 nm (τ ∼ 40ns) in Sc,Ce : CaF2 crystals, due to Sc-Ce aggregate centers. Anti-Stokes luminescence in the 250-350 nm spectral range with a 1 μs lifetime can be explained by exciton luminescence.