The concept of Industry 5.0 is gaining wide recognition both in academia and in business practice. On the other hand, the assessment of maturity using the maturity model for the implementation of the 5.0 concept is characterized by a much lower degree of recognition. In the face of the increasing complexity of global supply chains and the need to ensure the efficient flow of materials, the authors postulate a model of maturity for the implementation of the Industry 5.0 concept, which will become a key subject of scientific research, and the solutions developed within it will be gradually implemented by companies striving to increase their competitiveness. This study presents the conceptual framework of the maturity model for the implementation of the Industry 5.0 concept in logistics industry enterprises, the aim of which is to enable organizations to assess the current level of advancement in the implementation of the elements of the Industry 5.0 concept and to develop a strategic improvement action plan. This model was created on the basis of a review of the literature on the subject, covering both industry issues and existing models of organizational maturity. Its structure has been designed and empirically verified in such a way as to form the foundation for the development of a set of practical guidelines supporting the logistics transformation towards the concept of Industry 5.0.