The surface methodology of response to the factorial design was used to relate the catalytic activity in a two-way catalyst and the following process parameters: concentration ratio La2O3 / Cu and La2O3 / Al; matrix weight; impregnation time; the calcination temperature. The factors that influenced directly under the CO reduction efficiency were studied. The objective was to identify the process factors, which had the greatest effect, in the adition to evaluating the interaction between them. It was observed that there is an increase of 0.195%, on average of the CO reduction when the concentration ratio varies from 0.5g to 1.25g and there is an increase of 0.47%, on average, of the CO reduction when the impregnation time varies from 6h to 12h. It is also observed that the effect of the block is significant but negative, there is a significant decrease of 3,7%, in average, in the reduction of CO when using the ratio La2O3 / Al confirming that the catalyst with the aluminum metal presents higher catalytic efficiency in CO reduction. It was also observed that there is an interaction between the immersion time and the calcination temperature and that it had a synergic effect. The linear correlation was determined by the following mathematical equation: y = 2,41 + 0,04x1 + 0,18x2 − 0,218x3 (±0, 027) (±0,055) (±0,055) (±0,055)