The warming climate-induced intensification of hydrological cycle is amplifying extreme precipitation and increasing flood risk at regional and global scales. The evaluation of flood risk, which depends on assessment indicators, weights, as well as data quality, is the first step toward mitigation flood disasters. In this study, we accepted 10 risk assessment indicators concerning hazard of disaster-causing factors, sensitivity of hazard-forming environments, and vulnerability of disaster-bearing bodies. We used a combined weighting method based on the Analytic Hierarchy Process and Entropy Weight (AHP-EW) technique to evaluate rainstorm-induced flood risks across the Yellow River Basin (YRB) from 2000 to 2018. We observed flood hazards are intensifying across the YRB and a general escalation of flood hazard from southeast to northwest (lower to upper YRB). Specifically, areas with medium-magnitude flood hazards expanded from the lower to the middle and upper YRB. Rainstorm-induced flood risks are increasing from southeast to northwest (lower to upper YRB), and moderate flood risks can be identified over the Inner Mongolia-Ningxia-Gansu section of the YRB. Flood-related vulnerability shows an increasing trend, with higher vulnerability mainly observed in the middle and lower YRB. The overall flood risk in the YRB shows an increasing trend, with a 9-fold increase in flood risk from 2000 to 2018. Medium to high flood risk and vulnerability can mainly be identified in the middle and lower YRB, where population and GDP are concentrated. The intensifying rainstorm-induced flood risks over urban areas in these regions should arouse public concern.