The All-Russian project, implemented within the framework of the national project «Education», is oriented toward developing the upbringing environment in educational institutions of general and secondary vocational education as well as provides the introduction of the position of moral education counselor. This makes it necessary to solve the problem of finding theoretical and methodological approaches to their training at a pedagogical university. The authors of the article aim to substantiate variable models for training moral education counselors at a pedagogical university, which make it possible to form the readiness of this specialists to solve the problems of upbringing by the means of developing the environment of educational institution and interacting with children’s public associations. The methods of theoretical and comparative analysis are used to determine the specifics of training the specialists in the field of upbringing in Russia and abroad, which helped to present the existing training models. The study proposes a methodological program for constructing models for training moral education counselors, which is based on the ideas of general scientific, paradigmatic, and instrumental approaches. Possible models (targeted, complementary, formative (reflexive), and deficit-based model) of training moral education counselors at pedagogical university are shown. The examples of practices for implementing different models of training moral education counselors within bachelor’s and master’s programs are given in the article.