Shedrub Ling in its practice adheres to the tradition of the Tibeto-Mongolian Buddhism, and in particular of the Gelug school, which was founded in the 14th century by Lama Tsongkhapa. Tsongkhapa Lobsang Dragpa (1357-1419) is one of the most great Tibetan Buddhist teachers whose influence on the theory and practice of the Buddhism is expressed in one of the titles, given to him by his disciples, — "The Second Buddha".

The main merit of Lama Tsongkhapa is considered to be an extensive and deep systematization of Sutra and Tantra doctrines existing in his time in Tibet. He had taken as a basis the work of the great Indian teacher Atisha "A Torch at the Way to Awakening", describing consecutive stages of Buddhist practice since the beginning and to the ultimate goal. Lama Tsongkhapa has made two fundamental works — " The Great Treatise on the Stages of the Path to Enlightenment " and " The Great Exposition of Secret Mantra ", describing more exhaustively in them the system of Buddhist practice leading the Buddhist to the prime target, the Awakening, reaching the state of Buddha. All the first half of his life has passed in continuous training in separate subjects of the theory and practice of the Buddhism with the most outstanding experts on his time: teachers of Kadam, Sakya, Kagyu and Nyingma schools, that is all main schools of the Buddhism in Tibet. However his works were not only theoretical: Tsongkhapa is also known as an ingenious yogi, who reached Buddha's state in one lifetime.

The special merit of Lama Tsongkhapa consists in clear explanation of philosophy of the madkhyamaka-prasangika stated by the Indian teacher Nagarjuna. Following him and his pupils, Tsongkhapa in "The Great Treatise" and in some other works he has shown an indissoluble connection of doctrines on interdependent emergence and on emptiness, and has discredited many delusions about the doctrine about emptiness among the Tibetan lamas of that time. As the doctrine about emptiness represents the heart of the Doctrine of Buddha, it is hard to overestimate Je Tsongkhapa's contribution to its preservation and implementation in our world.

The Gelug school (literally “adherents of virtue”) founded by Lama Tsongkhapa is the most widespread and influential among all other schools of Tibetan Buddhism today. Historically, since 16th century, the school Gelug prevails in Mongolia, later it has spread among those Mongolian people which in the 17-18th centuries were part of Russia– the Kalmyks and the Buryats. The Gelug school prevails as well at the Tuvinians and Altaians professing the Buddhism.

Though several practices are present in Shedrub Ling, coming from Kagyu and Nyingma schools, the main part of doctrines and the practices belongs to the lines of transmission of the school Gelug, and the theory teaching is based entirely on the heritage of Lama Tsongkhapa and other teachers of this tradition.