The study analyses the results of published work in regards to the models that were used to assess the relation between trade and sustainability (environmental, social, and economic dimensions). The models are described in detail and information about their characteristics, goal, type, regional coverage, time frame, and applications are presented. A synthesis of results is depicted in tables to accumulate important information about the models investigated. This approach allows a comparison to be made between the various models not only on their basic characteristics but also on their application, their regional coverage, and the sustainability dimensions they are capable of covering. Furthermore, this study presents an assessment of how methods and models are complementary to one another. The main method of the analysis that took place in this study was a literature review of previous work focused on agricultural trade and sustainability matters, in terms of trade dynamics, agricultural production, and agricultural production output. A great number of international agricultural papers were examined with an equivalently great variety of trade and sustainability-related subjects.