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Аннотация Investigation of an influence of pressure boundary conditions on a fluid flow is presented in the article. At a numerical realization of the algorithm a coincident mesh for all components of speed and pressure is used. Problems of flat potential and flat laminar flows as test examples are considered at significant non-uniformity of a pressure field at the outgoing or at presence of return flows on outgoing. Computations have shown that in cases when traditional boundary conditions for pressure at the outgoing are used, the received decision is inadequate to the real flow. Modified boundary conditions for pressure offered in this work allow to obtain a decision which appropriate to real fluid flow in a better way