The review article identifies and characterizes the main tendencies of pedagogical education development in Ukraine: entering the European Higher Education Space internationalization, modernization, ensuring individual educational trajectory of teacher self-development, affirming academic integrity, ensuring future teachers' academic mobility, educators, formation and improvement of teacher's "soft skills". There are identified challenges in the process of pedagogical education reforming, including the implementation of the policy of higher pedagogical education institutions autonomy, the financial capacity of academic mobility the future teachers of various specialties, teachers, education managers, ensuring the quality of teacher training in a pandemic, creating resource content for informal training of future teachers, etc. The prospects of pedagogical education development have identified the unification of the process of future teachers' training in accordance with European quality standards; accreditation of educational programs on the basis of real quality criteria taking into account the needs of labour and the regional context; introduction of innovative forms, methods, technologies of teacher training in partnership of science, business, production, practice, etc.