1. As is established from the analysis, the classical method of critical path in network planning of projects is not valid in the case where the evaluations of durations of works are fuzzy quantities. 2. The method of fuzzy critical path is based on computation of a fuzzy set of critical works, fuzzy set of critical paths, fuzzy reserve of execution of uncritical works, and analysis of the risk content of a project. 3. The realization of soft computations of the proposed method of fuzzy critical path makes it possible to find the characteristics of a project expressed in terms of fuzzy numbers and to compare and improve projects; it promotes control over projects on the basis of fuzzy data as is done in the classical method of network planning and control.