Teaching English grammar at a non-linguistic university may have some problems connected with the heterogeneity of groups, low language proficiency of most students and the fact that foreign language is not the main subject for learners. The article outlines possible approaches to teaching students English grammar and proposes a combined approach, which should be based on the principle of developing communication skills in oral and written speech. The presentation of grammatical structures can be illustrated with different tables, charts and symbols supplied with the examples of sentences in the foreign language. The difference between the grammatical features of oral speech and professionally oriented texts is emphasized. It is concluded that studying grammar at a university is of paramount importance for communication both in everyday life and in the professional sphere.