Problem statement . The author analyzes LMS Moodle tools “Book”, “Lesson”, “Quiz”, and “Assignment” to form and develop grammar skills, and also shares the experience in realizing, creating and implementing into educational e-courses some interactive grammar tasks and exercises for non-linguistic university students. Methodology . The stages of grammar skills formation and development are indicated. The potential capabilities of LMS Moodle tools “Book”, “Lesson”, “Assignment”, “Quiz” to create interactive tasks and grammar exercises are analyzed. Results . Online tasks and exercises of various types - imitation, transformation, and substitution, based on “Book”, “Lesson”, “Assignment”, “Quiz” to form the grammar skills of students, are described in detail, and their examples are given. The algorithms to introduce interactive tasks and exercises into electronic courses are carefully shown. Conclusion . The author concludes about the effectiveness of using online grammar tasks and exercises created using LMS Moodle tools “Book”, “Lesson”, “Assignment”, “Quiz” for the formation and development of grammar skills for non-linguistic university students.