The conventional microwell-based platform for construction of organoid models exhibits limitations in precision oncology applications because of low-speed growth and high variability. Here, we established organoid models on a nested array chip for fast and reproducible drug testing using 50% matrigel. First, we constructed mouse small intestinal and colonic organoid models. Compared with the conventional microwell-based platform, the mouse organoids on the chip showed accelerated growth and improved reproducibility due to the nested design of the chip. The design of the chip provides miniaturized and uniform shaping of the matrigel that allows the organoid to grow in a concentrated and controlled manner. Next, a patient-derived organoid (PDO) model from colorectal cancer tissues was successfully generated and characterized on the chip. Finally, the PDO models on the chip, from three patients, were implemented for high-throughput drug screening using nine treatment regimens. The drug sensitivity testing on the PDO models showed good quality control with a coefficient of variation under 10% and a Z' factor of more than 0.7. More importantly, the drug responses on the chip recapitulate the heterogeneous response of individual patients, as well as showing a potential correlation with clinical outcomes. Therefore, the organoid model coupled with the nested array chip platform provides a fast and reproducible means for predicting drug responses to accelerate precise oncology.