UV-Vis spectrophotometry has been widely applied in the quantitative analysis of different analytes in many fields, but it still faces challenges in the analysis of multicomponent solutions due to strong spectral overlap and low selectivity. In this paper, UV-Vis spectrophotometric method combined with chemometrics algorithms was established for the simultaneous determination of liquid-phase adsorption kinetics of multicomponent for the first time. Partial least squares (PLS), stepwise regression, and multiway PLS (N-PLS) models were established by using the original spectrum and processed spectrum pretreated by two different methods. The prediction results were validated by high-performance liquid chromatography (HPLC). N-PLS model showed the best prediction ability and the prediction relative error was within 9%. Adsorption kinetics studies indicated that the pseudo-second-order model can describe the adsorption behavior of rutin and quercetin on AB-8 resin more accurately. This method was fast, low cost, accurate and reliable, simple, and efficient for the determination of multicomponent liquid-phase adsorption kinetics.