Based on the analysis of foreign sources, the article reveals the essence of resilience as a factor in the psychological stability of teachers, determines the factors on which it depends, and methodical ways of its purposeful formation at the stage of professional training of future teachers in institutions of higher education. Three approaches to understanding the essence of resilience are defined: dispositional, procedural and effective. The dispositional approach consists in understanding resilience as a relatively stable ability of an individual to resist adversity and adapt to it. According to the procedural approach, resilience is understood as a dynamic process: methods and strategies of behavior that are used by an individual to overcome difficulties, adapt and recover from failures. An effective approach is to assess resilience based on the actual consequences or results achieved by the individual after overcoming the stressor. It was found that, in accordance with the indicated approaches, resilience in the context of training future teachers is considered as an ability, process and result: the ability to use personal and external resources to overcome difficulties; the process in which the teacher interacts with the professional context, using various strategies of coping behavior; a result that is manifested in the strengthening of professional orientation, growth, self-improvement, increased self-efficacy, enthusiasm, satisfaction from professional activity, and the achievement of psychological well-being. Foreign researchers pay attention to the development of resilience in future teachers as an individual ability – a complex of personal resources (motivation, social competence, emotional intelligence, optimism, internal locus of control), familiarization of students with various ways of mobilizing and using environmental resources (network of social support, reference persons) and development of adaptive strategies of coping behavior (problem solving, time management, maintaining balance between work and personal life) to constructively overcome problems and achieve positive results (psychological well-being, job satisfaction, dedication to the profession, sense of self-importance, professional engagement).