In this study, the processability of zucchini powder was numerically simulated using a finite element method and the response rate method was used to make simultaneous mechanical and energy consumption optimization. The effect of hydraulic pressure (5, 7, and 9 MPa), Die diameter (10, 18, and 26 mm), and stress relaxation time (3, 13, and 23 s) on the stress distribution, compressibility, and percentage compaction of the tablets was investigated. The simulation results at a relaxation time of 13 years showed that increasing the pressure from 5 to 9 MPa, the maximum axial stress (σmax) from 189 to 193 MPa, and the percentage compaction from 87.9 to 67.16%, while increasing the die diameter from 10 to 26 mm, while from 10 to 26 mm, the stress reached 193 million. inclined towards the edges. Analysis of efficiency ratios showed that the ratio of Sₐᵥₑ/CP decreased from 9.43 to 6.36 with increasing pressure, indicating improved compaction efficiency at higher pressures. Statistical optimization with a desirability function determined the optimal conditions including a pressure of 9 MPa, a die diameter of 12.15 mm, and a stress relaxation time of 6.35 seconds with a desirability index of 0.73. Under these conditions, a tablet density of 1330 m3, a strength of 48.6 Newtons, a stress at the tensile strength of 63.16 MPa, a specific energy consumption of 1917.05 J/cm3, and a compaction percentage of 87.12% were obtained. Validation of the numerical model with experimental data showed an error of less than 7%, indicating an acceptable accuracy of the model in predicting the compaction behavior. The alignment of simulation results and statistical analysis showed that numerical and statistical modeling can be efficient using different methods for the design and construction of biopowder compaction processes.