The ultimate goal of the English language learning is that learners can use the language in an accepted level of appropriacy. To do so, they need to have an adequate discourse competence comprising its various elements that build it. It is with discourse competence that the learners, who are speakers and hearers or writers and readers of the language, are able to communicate with others. This paper will be concerned with how discourse competence is placed in the English language teaching. In particular, it will explore how English teachers can make use of discourse elements in teaching English where learners will not only be aware of the elements that make discourse “discourse”, but also produce a type of discourse in spoken and writen versions.