Cordierite honeycomb ceramic is one of key materials for vehicle exhaust purification as a support material in catalytic converters and diesel particulate filters, owing to its superior thermal and mechanical properties. In view of more and more stringent emission standards, the improvement of cordierite honeycomb ceramic becomes an important issue, especially in product specifications and performances. The extrusion method of cordierite honeycomb is reviewed in this paper with focuses on the process choice, raw materials specifications and impurity elements. In the context of the huge market demand for cordierite honeycomb ceramics, some key problems are discussed, including the possible routes to improve the product quality and the challenge of the international competitiveness.