Background: Project effectiveness is synonymous with project success. It is measured or assessed in terms of the degree to which project objectives are achieved. This paper presents an approach to evaluating the effectiveness of logistics projects. The starting point is the analysis of the current state of knowledge in the area of assessing project effectiveness, including logistics projects. The purpose of the study was to identify the critical factors determining the success of logistics projects and develop a model of logistics project effectiveness. Methods: The paper is based on the available recent scientific-theoretical research and publications and on practical studies in 25 enterprises seated in Poland. The study carried out by the authors had the form of questionnaires. The authors used a case study to validate the  model of fuzzy decision-making system dedicated to estimate the level of logistics project effectiveness. Results: Based on a literature review and research findings, the authors propose the key success factors for logistics project effectiveness. In the paper the authors propose an approach to measure the level of logistics project effectiveness using their model based on fuzzy logic. This model laid the foundations for a fuzzy decision-making system in MATLAB environmental. The paper describes the implementation of the model via a case study. Conclusions: This approach allows for a more detailed description of logistics project effectiveness. The proposed model may be implemented by logisticians in an enterprise and/or supply chain. The approach can be useful to assess the level to which  logistics project objectives are achieved - logistics project effectiveness.