Single crystalline films (SCFs) of Y 3 Al 5 O 12 :Bi and Lu 3 Al 5 O 12 :Bi with different Bi 3+ contents are studied at 1.7-300 K by the time-resolved luminescence spectroscopy methods under excitation in the 2.4-20 eV energy range. Two ultraviolet emission bands of these SCFs, located at 3.99-4.08 eV at T<80 K and at 4.11-4.19 eV at 150 K, arise from the radiative decay of the metastable and radiative minima, respectively, of the triplet relaxed excited state (RES) of a single Bi 3+ center, which are related to the 3 P 0 and 3 P 1 levels of a free Bi 3+ ion. Their excitation bands located around 4.6 eV, 5.2 eV, and 5.95 eV are assigned to the 1 S 0 → 3 P 1 , 1 S 0 → 3 P 2 , and 1 S 0 → 1 P 1 transitions, respectively, in free Bi 3+ ions. The luminescence of dimer Bi 3+ -Bi 3+ centers is not detected in the SCFs studied. The lower-energy (2.6 eV) visible emission of these SCFs is due to an exciton, localized near a single Bi 3+ ion, while the higherenergy (2.75 eV) visible emission, an exciton, localized near a dimer Bi 3+ -Bi 3+ center. Temperature dependences of the luminescence decay times are measured for the ultraviolet and visible emissions in the 1.7-300 K temperature range and simulated by phenomenological models of the dynamics of corresponding excited states. The quantitative parameters of RESs (the energy separations between the energy levels and the rates of the radiative and nonradiative transitions from these levels) are calculated.