The dry reforming of methane - DRM is a promising technology, since it uses two of the greenhouse gases - GHG (CH₄ and CO₂) to obtain H₂ or syngas (H₂ + CO) which, besides being an interesting product from the industrial viewpoint, it can reduce GHG emissions to the environment. The use of nickel-based catalysts supported on non-reducible oxides such as alumina is very common in DRM. In general way, high conversion levels are reported for such catalysts, however, carbon offsets and nickel toxicity are still a problem. Active with more than one element has been investigated with the intention of potentiating the catalyst with the characteristics of its constituents, either to reduce cost, toxicity and coke, or to increase the conversion. In this context, statistical mixing planning is the best option to evaluate catalysts with active compound phase. In this work, it was used simplex-centroid statistical mixing planning with 50% restriction of the active phase composed of Ni and the other 50% of Ni, Co and Mn in different proportions following the experimental design adopted with the purpose of evaluate the synergistic and / or antagonistic effects on methane conversion, hydrogen yield, H2 / CO molar ratio and cost of the active phase. The α-alumina, used as support, was obtained by microwave assisted self-combustion method and characterized by XRD, BET-BJH and SEM. The active phase was impregnated by wet way and the catalysts obtained were characterized by XRF, XRD (Before and after activation), TPR and SEM-EDS. The catalytic tests were performed at 700 °C with a space velocity of 36 L.h^-1.g^-1 and their data were used in the planning generating the mathematical models, which in turn, were used to model a catalyst named Cat mod.The main results show a performance of Cat mod against the catalyst used as reference (Cat 1 -10% Ni) with cost reduction (- 35%) and toxicity, considering that there was a considerable reduction in the amount of Ni used . The Pareto diagram reports that any proportion of mixture between two of the studied elements results in an antagonistic effect, but when the three elements are combined, they have a synergistic effect. SEM and TG-EGA characterized the catalysts after catalytic tests. The analyzes after the catalytic tests show that Mn inhibits the formation of coke when used in amounts above 20% (considering the composition of the active phase).Finally, it was proposed for a mechanism of reaction.