A problem of reconstruction of the signals of sensors of the power flux monitoring (PFM) has been considered as an inverse problem which may be solved by use of the algorithms of assembling inverse filters derived on a basis of the asymptotically best and the best uniform approximations of the frequency characteristic. Such an approach to deriving the resulting filters whose frequency characteristics meet a specified condition for any a priori given error enables one to increase the PMF signal accuracy, and, hence the accuracy of the power flux calculations over the nuclear power reactor core volume.