We show that a significant fraction of the energy of a gamma-ray burst (GRB
) is probably converted to a burst of 10(17)-10(19) eV neutrinos and multip
le GeV gamma-rays that follow the main GRB by similar to 10 s. If GRBs acce
lerate protons to similar to 10(20) eV, a suggestion that recently gained s
upport from observations of GRB afterglows, then both the neutrinos and the
gamma-rays may be detectable.