In this article, a system of categorizing the c’esf-cleft into different types is developed, based on their pragmatic, syntactic and prosodic properties. This goal has already been accomplished in English linguistic studies for a similar construction, the it-cleft. The c’est-cleft, however, is found more frequently than the it-cleft, and in many contexts, it is obligatory. In general, in the relative clause of the c’est-cleft, there is an open proposition that is saturated through replacing the missing variable by the element that is found in post-copular position. In most cases, the material found in the relative clause is presupposed; however, there are some cleft types for which this is not necessarily the case. This study is based on Lambrecht’s study of Information Structure.