Tritium release from samples of 9–13 mg of the EXOTIC 8-3/13 neutron-irradiated beryllium pebbles under the separate and simultaneous action of temperature 490–770 K, 5 MeV fast-electron radiation 14 MGy h −1 for 3 h and magnetic field (MF) of 1.7 T was investigated. The pebbles were found to be very dissimilar with respect to their total tritium content—2.5–9 MBq g −1. The batch contained also some coarse agglomerates of the pebbles containing 10–19 MBq g −1 of tritium having also a high tritium release. For the pebbles having the total tritium 2.5–5.3 MBq g −1, the electron radiation for 3 h caused the fractional tritium release 17–26% ( B = 0) and 21–29% ( B = 1.7 T), the temperature of the pebbles being <550 K. The annealing of the pebbles at the temperature ramp at 5 K/min to 553 K and at 553 K for 3 h caused the fractional tritium release 10–19% ( B = 0) and 14% ( B = 1.7 T). For the pebbles having the total tritium 3.6–5.8 MBq g −1, the annealing of the pebbles at the temperature ramp at 5 K/min to 770 K and at 770 K for 1 h caused the fractional tritium release 17–24% ( B = 0) and 25% ( B = 1.7 T), but with the simultaneous additional action of the electron radiation for 3 h the fractional tritium release was 24–42% ( B = 0) and 32–37% ( B = 1.7 T).