The paper reviews the development of specialized translation training methodology in Ukraine on the example of Dictum Factum and UTTU Series projects, as well as in a broader context. The authors argue for the relevance of including specialized translation into the content of university-level translator training. The article shows the dynamics of the specialized translation share in the global amount of translation services in the late 1990s and the early 2000s, as well as the intensification of its investigation among the foreign and Ukrainian researchers. The authors outline the specifics of translator training problems in Ukraine after it gained independence and give grounds for the development of a comprehensive model of specialized translation training for the purpose of the research planning and coordination. The paper formulates the tasks and conditions to be accomplished to achieve the said aim. The researchers describes the model developed within the Mykola Lukash Translation Studies department at V.N.Karazin Kharkiv National University. This model is based on the competence, field-oriented and cyclic approaches. The competence approach relies on the PACTE model (with some distinctions) and includes bilingual, extralinguistic, translation, personal and strategic subcompetences. Thus, the aim of the training is defined as a systematic, purposeful and integrative development of the said subcompetences. The acquisition of skills and subskills is provided for on the basis of their list for each type of translation and interpreting. The system of assessing the latter is an important component of the model. The field-oriented approach implicates a prevalence of specialized translation in the content of training, while the cyclic approach involves organization of exercises in cycles, each of which is based on one text related to a specific topic or subtopic. The paper shows the development of this model in the works of various Ukrainian researchers, as well as its implementation in the published textbooks and other teaching materials. The authors outline the prospects of further research.