As more attention is given to climate change and sustainable development, enterprises start to care about carbon emissions related to their supply chains. One important issue faced by an enterprise is to select a logistics provider who can provide a high-quality service with low carbon levels. To solve this issue, this paper firstly proposes selection criteria from the perspective of low carbon levels. The selection criteria are based on comprehensive strength, financial status, market competitiveness, development potential and low carbon level. Next, this paper applies an information entropy VIKOR model to evaluate the proposed selection criteria. Subsequently, in order to check the applicability of our proposed selection model and to illustrate how to use the selection model, this paper took S company and its four logistics providers as a case study. Related suggestions are also proposed based on the evaluation results. One finding of this paper is to establish a decision-making framework to evaluate logistics suppliers in an environment using low-carbon level criteria.