Magnetic and electrical property results for the pseudobinary compound Ce(Fe_1-xCo_x)₂ are reported. It is found that as the temperature is decreased the system goes from the para- to the ferro- to the antiferromagnetic phase. The ferro-to-antiferromagnetic phase transition is a first-order transition. An H-T phase diagram for the ferro- to antiferromagnetic transition has been determined. All the experimental results suggest that the magnetic phases in Ce(Fe_1-xCo_x)₂ may be understood in terms of itinerant electron magnetism. The author's experimental results are consistent with the magnetic phase diagram predictions of Moriya and Usami's theory of strongly interacting itinerant electron systems.