Open innovation includes making collaborative relationships with other firms and institutions to achieve competitive advantage through innovative products or services. Open innovation has an effect on the logistics firms because they have many services and products and also various relationships with their shareholders. The main purpose of this study is to determine the appropriate open innovation model for logistics firms. In this context, the application process is performed by a Fuzzy Multi Criteria Decision Making model. This approach involves both criteria (control, focus, innovation process, knowledge, cost, capacity, market, utilization, policy, motivation) and alternatives (inbound, outbound and coupled open innovation models). Weights of the criteria were determined by Fuzzy AHP. Furthermore, ranks of the alternatives were performed by Fuzzy VIKOR. According to results, outbound innovation is determined as the appropriate open innovation model for logistics firms. The most important three criteria in order to determine the appropriate open innovation model are innovation process, motivation, and market respectively.