Scientific Study from the year 2011 in the subject English Language and Literature Studies - Linguistics, grade: A, National University of Modern Languages, Islamabad (NUML), course: Discourse Analysis, language: English, abstract: The research article is an assignment of TEFL which attempts to identify categories, themes, ideas, views, roles, and so on, within the conversation itself. The aim is to identify commonly shared discursive resources (shared a patterns of talking). The researcher tries to answer questions such as how the discourse helps us understand the issue under study, how people construct their own version of an event, and how people use discourse to maintain or construct their own identity. The self-identities of two persons, Ali and Sophia, are explored in this study using the method of discourse analysis. The purpose was to understand how these persons construct their self-identities within their domain. These two were interviewed by the researcher and the tape recordings were transcribed for the purposes of analysis. Several themes were identified in the analysisis.Most of the work has been taken from the study of Carter 1993, Trappes-Lomax, H. 2004,Renkema, J. 2004,Rogers ,2004 and McCarthy, M. 1991.The books and articles written by these famous linguists helped me in developing my thoughts.I dedicate this article to all these famous linguists.