Selective and complete hardening reactions of fats and oils, free fatty acids and fatty acid esters with hydrogen were carried out continuously in supercritical CO2 (sc CO2) with DELOXAN(R) supported precious metal fixed bed catalysts. Depending on feed and the desired degree of hardening, temperatures between 60 and 160 degrees C, total pressures between 8.0 and 16.0 MPa and space velocities (LHSV) between 5 and 60 h(-1) were investigated. We observed up to 6 times higher space time yields in free fatty acid hardening using a DELOXAN(R) supported 1 wt. % palladium fixed bed catalyst in comparison to trickle bed hardening with an activated carbon supported 2 wt. % palladium fixed bed catalyst. The formation of undesirable products in edible oil hardening (e. g. trans fatty acids) is significantly decreased with a DELOXAN(R) supported 1 wt. % platinum fixed bed catalyst in sc CO2.