A method is proposed to compute some characteristics of a possible stress tensor related to striations measured in a given faulted area. If several tectonic phases are responsible for the striations the method separates and determines the successive stress tensors. The iterative algorithm consists of alternatively: (a) sorting the data attributed to a tectonic phase; and (b) computing the characteristics of the stress tensor of this phase. The method is tested using an application to synthetic and actual data.