It shown that the chiral model with SU (3) flavor symmetry predicts a dibaryon state of low mass M (M2.2 GeV). It is electrically neutral and is an SU (3) singlet with JP=0+. It corresponds to a six-quark state found in the MIT bag model by Jaffe. It is also shown that there is no stable particlelike state of baryon number 2 which is based on Skyrme's spherically symmetric Ansatz for the chiral field. © 1984 The American Physical Society.