Recent advances in the photon tagging facilities together with the novel, high resolution fast cal orimetry make it possible to perform photoproduction cross section measurements of pseudoscalar mesons on nuclei with a percent level accuracy. The extraction of the radiative decay widths, needed for testing the symmetry breaking effects in QCD, from these measurements at small angles is done by the Primakoff method. This method requires theoretical treatment of all processes participating in these reactions at the same percent level. The most updated description of general processes, including the nuclear coherent ampli tude, is done in our previous paper. In this work, in the framework of the Glauber multiple scattering theory, we obtain analytical expressions for the incoherent cross section of the photoproduction of pseudoscalar mesons off nuclei accounting for the mesons absorption in nuclei and the Pauli suppression at forward pro duction angles. As illustrations of the obtained formulas, we calculate the incoherent cross section for photo production from a closed shell nucleus, 16 O, and from an unclosed shell nucleus, 12 C. These calculations allow one to compare different approaches and estimate their impact on the incoherent cross section of the processes under consideration.