Abstract: The focus of modern process industry has shifted to the production of higher-value-added products through batch processes. Statistical process monitoring (SPM) has shown to be effective in ensuring process safety and product consistency for batch processes. This paper presents a review of multivariate statistical modeling and monitoring for batch process applications. Based on analysis of the nature of batch processes, this paper reviews each key method in terms of its motivation, development, and application prospective. The review ends with the authors' personal views of challenges and future directions for the area.