This paper introduces a new technique in construction networking. A modified fault tree analysis was employed to determine the critical paths, sequence of activities, and the basic events that have the potential to induce the delays of any activity in the network. This method can be used for both deterministic and non-deterministic approaches. It also incorporates the provision of minimal cut sets that guarantee the occurrence of a delay. The cut sets can be evaluated qualitatively, quantitatively, or both, in order to determine their rank of importance.