[en] The (p, nγ) reaction was investigated on the ⁵¹V, ⁵⁹Co, ⁵³Cr, sup(67,70)Zn isotopes in the proton energy range of 2-3 Mev with the aim of obtaining information on the spins of lower excited states. The absolute cross sections were measured on an electrostatic accelerator. Targets of thickness of 1-3 μm and calibrated Ge (Li) detectors were used. The cross sections were calculated according to the statistical theory. This theory describes well the absolute cross sections of the (p, nγ) reactions on medium nuclei up to the reaction threshold. The sensitivity of the calculated cross sections to the quantum characteristics of the final states made it possible to obtain new or confirm the existing data on the spins of the excited states of of ⁵¹Cr, ⁵³Mn, ⁶⁹Ni, and sup(67,70)Ga nuclei. The values of the spins of the following states were obtained: 1163 keV for ⁵¹Cr, Isup(π)=9/2^-; 648 kev for ⁷⁰Ga,Isup(π)=0⁺; 1139 keV, Isup(π)=0⁺