Abstract: China is currently undergoing an accelerated transformation period in the construction of new power systems. The development trend of strong uncertainty on the source, grid, and load sides of new power systems and their characteristics of highdimension, strong correlation, and diversity bring challenges to the traditional modeling and analysis methods for uncertainties.This paper reviews the static modeling and quantitative analysis methods for uncertainties of new power systems. First, the basic concepts and framework of the static modeling and quantitative analysis for uncertainties are introduced. Then, based on the literature survey in recent years, the static modeling methods for uncertainties are classified and reviewed from the perspectives of prior and posterior uncertainties, and the quantitative analysis methods for uncertainties as well as their application scenarios are categorized and summarized from two levels: model-driven and data-driven. Finally, combined with the survey results, the static modeling and quantitative analysis methods for uncertainties of future new power systems are prospected, pointing out that efforts should be made to improve the scope, calculation efficiency, and calculation accuracy, and to promote practical applications.