The present work investigated the effects of operating conditions (temperature (T), pressure (P), and gas hourly space velocity (GHSV)) on the higher-alcohols synthesis reaction, using a downward-flow fixed-bed reactor. The carbon nanohorn (CNH)-supported KCoRhMo catalysts with compositions of 9% K, 4.5% Co, 1.5% Rh, and 15 wt% Mo were used for this study. The Design Expert software was used to analyze the interaction effects of T (290-370 °C), P (800-1400 psig), and GHSV (2.4-4.8 m³(STP)/kgcat/h) on CO conversion, alcohols, and hydrocarbon product selectivities, as well as their respective yields. The validity of the models was assessed by statistical tests: test of significance and coefficient of determination (R²) values. The recorded R² values suggested that the quadratic models generated could sufficiently depict the experimental data. Increasing temperature and pressure in the ranges of 290-350 °C and 800-1400 psig, respectively, resulted in corresponding increases in CO conversions; however, with increasing GHSV, the CO conversion decreased monotonically. Numerical optimization assessments of the models selected the optimum operating conditions to be 325 °C, 1320 psig, and 2.4 m³(STP)/kgcat/h to give the maximum ethanol and higher alcohols space time yields of 0.126 and 0.177 g/gcat/h, respectively. [ABSTRACT FROM AUTHOR]