The experimental data on the γ+p→p+ π 0 and γ+p→n+ π + processes in the near threshold γ-quantum energy region are analysed on the basis of dispersion relations. When calculating the dispersion integrals use is made of experimental data on the absorption part of the photoproduction amplitude. A satisfactory agreement with the predictions of dispersion relations is obtained for the photoproduction of π 0-mesons. The γ+d→d+ π 0 and γ+d→p+p+ π − processes are discussed for the analysis of the isobaric structure of the photoproduction amplitude as well as the elucidation of the role of π-π-interaction.