Using the objective physical data reliability criteria it was shown that partial photoneutron reaction cross sections for $^{51}$V obtained at Livermore (USA) and Saclay (France) using the method of neu-tron multiplicity-sorting are not reliable because significant systematic uncertainties. In the frame of experimental-theoretical method the new cross sections of such reactions satisfying reliability criteria were evaluated. The disagreements between evaluated and experimental cross sections were analyzed in detail. It was found that in the case relatively light nucleus 5$^{51}$V the main reason of significant sys-tematic uncertainties of the procedure of identification of neutrons from the reactions $(\gamma, 1n)$, $(\gamma, 1n1p)$ and $(\gamma, 2n)$ used in Livermore is the that the part of the reaction $(\gamma, 1n1p)$ was not taken into account.
$^1$Lomonosov Moscow State University, Skobeltsyn Institute of Nuclear Physics, Moskow 119991, Russia.\
$^2$Physics Department, M.V. Lomonosov Moscow State University