The article considers the problem of formation of grammar skills in teaching foreign language communication and skills to understand adequately different types of discourse in relation to a definite situation of communication, and also the ability to reproduce statements acceptable in a definite communicative situation. Nowadays discourse competence is considered one of the most significant skills. Discourse competence implies the ability to code and decode information with the help of a foreign language in accordance with its lexical, grammar, syntactical norms and also taking into consideration stylistic, genre, sociocultural, psychological and emotional factors, using the sources of cohesion and coherence to achieve a communicative goal. Discourse competence is provided by the knowledge of the strategies which are typical for the target culture and taking into account grammatical structures in a definite communicative situation. According to the modern goals of foreign language education, in our case, in forming grammatical authenticity of a learner's speech, only discourse should be the basis of the learning process as the adequacy of learners' speech behavior is measured by the achievement of a communicative goal in a definite situation of foreign language communication and not only by the correctness or incorrectness of a produced statement. A discourse basis of the learning process underlines the dynamic pragmatist character of the language, taking into account extralinguistic factors of the situation of intercultural communication.