Single crystals of BeO which have been irradiated with neutrons show an EPR spectrum with partially resolved hyperfine structure. An ENDOR study of the hyperfine interaction leads to the conclusion that the spectrum arises from centers which consist of an electron trapped at an oxygen vacancy surrounded by four Be nuclei. The measured hyperfine interaction constants are: Ai/h= 10.3 MHz, A u/h= 16.4 MHz, and (e 2 qQ)/h= 1.1 MHz for the Be nuclei not on the c axis; and Ai/h = 4.2 MUz,A u /h = 9.2 MHz, and (e 2 qQ)/ h= 1.5 MHz for the nuclei along the c axis. These values lead to |^(fBe) | 2 =0.13X10 24 cm" 3 for the electron wave function at the c-axis nuclei, and |^(rBe) | 2 =0.06X10 24 cm -3 for the nonaxial nuclei. The measured g value for H parallel to the c axis is 2.0030.