[en] The resonance levels of the ⁴H and ⁵H nuclear systems are studied with application of the neutron transfer reactions by the collisions of the bombarding tritons with the deuterium and tritium targets. The modified beam line of the AKULINA secondary radioactive beams separator was used for focusing the tritons beams with the energy of 57.5 MeV at the target onto the spot 5 mm in diameter by the beam intensity of 3 x 10⁷ s^-1. The results of the protons spectra analysis, registered in coincidence with the tritons in the d(t, pt)n, t(t, pt)nn reactions and in the ternary ptn-events in the t(t, ptn)n reaction are presented. The parameters of the ⁴H resonance state: the E_res energy = 3.22 ± 0.15 MeV and the observed width G_obs = 3.33 ± 0.25 MeV are obtained from the data on the d(t, pt)n reaction. The peculiarities, obviously conditioned by comparatively narrow (G_obs < 1 MeV) resonance with the energy of about 2.5 MeV and relatively wide ⁵H structure are identified in the protons spectra, observed in the t(t, ptn)n reaction by the energy E_⁵H = 4-7 MeV