Despite substantial interest in applications of neural networks to information retrieval, neural ranking models have mostly been applied to conventional ad-hoc retrieval tasks over web pages and newswire articles. This article proposes a concept-enhanced pre-training model for microblog retrieval task, leveraging Semantic Matching Model (SMM) objective and Concept Correlation Model (CCM) objective. The proposed model is a novel neural ranking model specifically designed for ranking short-text microblog, which could merge the advantage of pre-training methodology for generating valid contextualized embedding with the superiority of the prior lexical knowledge (e.g., concept knowledge) for understanding short-text language semantic. We conduct experiments on widely used real-world datasets, and the experimental results demonstrate the efficiency of the proposed model, even compared with latest state-of-the-art neural-based models and pre-training based models.