In this research the author investigates the construction of narratives of religious conversion through the use of interviews. These narratives are testimonials of the passage from a bad life condition to a better one, in which the contrast between the present and the past is especially visible. In relation to the process of change, the narrators indicate that they understand the conversion as happening in an unexpected moment of illumination. The narrative analysis points out that those changes occur in what the author refers to as a web of change: the discursive construction of a broad web of social relations that gives rise to the possibility of identity (re)construction. The author also proposes to examine the discursive production of the conversion through the notion of stream of change. This notion indicates that the transformation of the social identity can´t be located in a specific point. Although the author has worked with narratives of religious conversion, he proposes that these notions can be used in the study of narratives concerned with other types of conversion, since one of the central characteristics of such narratives is the emphasis upon the transformation of identity.