The Bureau of Mines performed elastic-plastic, finite-element analyses to investigate the support peformance of hydraulic backfill. A mathematical model was developed for two vertically adjacent stopes separated by a sill pillar. An exact duplicate of a working stope was not intended; however, the model did simulate a working stope to the extent that field measurements from an active stope could be used for comparative purposes. Using a predetermined mining sequence, the computer analysis simulated the mining operation as a series of incremental cut-and-fill steps. Computer results included a complete history of stope closure and pillar stresses throughout the mining sequence. With the mining sequence and rock properties held constant, three separate analyses were made using varying backfill properties. These cases included no fill, low-to-medium quality fill, and medium-to-high-quality fill. Results of these analyses show decreases in stope closure and pillar stresses as the backfill quality increases, thus reducing the possible occurrence of rock bursts. Predicted stresses within the backfill compare favorably with field measurements. A relationship between maximum stress normal to the stope wall and the ratio of relative fill stiffness to relative rock stiffness was also indicated.