This paper presents the features of teaching the Turkish language in higher education institutions and an overview of typical mistakes made by students during the study of a particular grammatical appearance of the Turkish language. The following grammatical peculiarities of Turkish language are presented in this study such as a category of the belonging of the nouns in the Turkish language, the procedure of binding of the Turkish adjectives and numerals with nouns, as well as the word order in a Turkish simple sentence. These aspects are presented in comparison with the similar phenomena in the Russian language. The authors of the article also informs about the ability to build the training process of the Turkish language correctly and logically, giving an analysis of exercises. The materials may be useful for teaching the Turkish language at universities, conducting further experiments to test the effectiveness of these methodological approaches, as well as developing more effective tasks in order to form good skills of speaking Turkish.