The paper contains an analysis of the paths of economic growth generated by the dynamic input-output model. The attention has been focussed on the paths with not diminishing rates of growth of all sectors. Conditions of achieveing postulated rates of growth of the sectors and those of stability of the whole economic system have been formulated. The concept of "critical" structure of investment has been introduced to denote the structure which guarantees that all sectoral rates of growth remain positive. The approach to the problem presented in the paper is applicable also in the case of degeneracy of the matrix of capital-input coefficients.Digitalizacja i deponowanie archiwalnych zeszytów RPEiS sfinansowane przez MNiSW w ramach realizacji ...