As the national natural life support system, green infrastructure (GI) at regional, city and community scales can provide not only multiple water ecosystem services such as rainwater regulation and storage, water quality improvement, groundwater recharge, and habitat maintenance, but also a variety of cultural services such as leisure and entertainment, physical and mental health, eco-tourism, and aesthetic experience. However, there are spatial dislocation effects and time delay effects between the supply and demand of green infrastructure water ecosystem services (GIWES). The evaluation of supply and demand of green infrastructure water ecosystem services can identify the temporal and spatial heterogeneity of supply and demand, and promote the balance of service supply and demand. This research uses Citespace to analyze the relevant literature in the field of GIWES supply and demand in databases of CNKI and Web of Science, sorts out the research characteristics and development context at home and abroad, clarifies the connotation of GIWES supply and demand, and summarizes the research on the supply and demand evaluation content, evaluation methods and equilibrium analysis methods of GIWES. The research finds the following four points: (1) The preliminary progress has been made in the research that integrates ecosystem service supply and demand assessment with green infrastructure planning and design, but there are few systematic studies on green infrastructure water ecosystem services. (2) Supply evaluation researches are rich, and the measurement indicators mostly rely on objective biophysical data. The popularity of demand evaluation is rising, and the measurement indicators are mostly based on consumption, preference, perception, and socio-economic value. The measurement units of most existing empirical research are concentrated in the administrative units, land-use units, and environmental units such as watersheds/habitats. (3) Quantitative assessment methods mainly include the ecological model method, the public participation method, the value assessment method, and the empirical statistical model method. The ecological model method is gradually gaining popularity. The principles of selection of evaluation methods and determination of key parameters are put forward. (4) Supply and demand balance analysis is divided into dynamic balance analysis and static balance analysis. In comparison, there is more literature on static equilibrium analysis, and the main analysis contents include quantitative and spatial equilibrium analysis. Research on dynamic equilibrium analysis needs to be deepened. Based on the analysis of current research status and development trends, future research should focus on the following four aspects: constructing a multi-scale supply and demand evaluation index system, exploring an integrated method for supply and demand evaluation, improving the accuracy of supply and demand evaluation, strengthening the research on dynamic balance analysis of supply and demand and its application in space optimization management. The research will help to identify the temporal and spatial characteristics of GIWES supply and demand, promote the transformation of GIWES supply to human well-being needs as well as the balance of supply and demand, and provide a scientific basis for WES-oriented GI planning, design and management.