The oil extracts from palm kernel cake were obtained with supercritical CO2 at temperatures of (40-80) degrees C and pressures of (150-350) bar. The highest extraction yield on dry basis was (7.82 +/- 0.28)%, obtained at 350 bar/80 degrees C; however, the oil fraction employed in the transesterification process was that obtained at 150 bar/40 degrees C. The transesterification reaction was performed under the following operating conditions: methanol/oil molar ratios of 24:1 and 42:1, temperatures of (250-350) degrees C, and reaction times of (5-25) min. A statistical analysis and mathematical modeling for the optimal yield of SFE were also performed. The fatty acid with the highest concentration was lauric acid (60.24 +/- 0.62) % and the transesterification conditions affording the highest conversion of methyl esters (99.81 +/- 0.10) % were a methanol/oil molar ratio of 42:1, 350 degrees C, and 5 min.