The binding energies of neutron rich strangeness S = −1 hypernuclei are estimated in the chiral soliton approach using the bound state rigid oscillator version of the SU (3) quantization model. Additional binding of strange hypernuclei in comparison with nonstrange neutron rich nuclei takes place at not large values of atomic (baryon) numbers, A = B ≤∼ 10. This effect becomes stronger with increasing isospin of nuclides, and for "nuclear variant" of the model with rescaled Skyrme constant e. Total binding energies of 8 Λ He and recently discovered 6 Λ H satisfactorily agree with experimental data. Hypernuclei 7 Λ H, 9 Λ He are predicted to be bound stronger in comparison with their nonstrange analogues 7 H, 9 He; hypernuclei 10 Λ Li, 11 Λ Li, 12 Λ Be, 13 Λ Be etc. are bound stronger in the nuclear variant of the model. 1