A catalytic converter for an internal combustion engine exhaust system comprises a single-piece, seamless metal housing having tubulated gas inlet and outlet ports and a tubulated intermediate section with a catalytic element therein. The intermediate section is connected to the inlet port by an inlet transition section and to the outlet port by an outlet transition section. The inlet and outlet ports and the inlet and outlet transition sections are formed by swaging the ends of a seamless tube used to form the housing. Exhaust gas produced by operation of the engine passes into the converter and through the catalytic element. Noxious substances in the exhaust, including CO, NO.sub.x, and incompletely combusted hydrocarbons are converted to more benign substances through the action of the catalytic element, which is preferably a frangible ceramic honeycomb structure having a plurality of internal passages coated with a catalytically active substance. A swaging process is used to form tubulated ends on the converter. The tabulated ends minimize production of turbulence in the gas flow and allow the converter to be connected to the rest of the exhaust system by clamped, welded, or flanged joints. The one-piece, seamless construction of the converter is economical to produce and eliminates welding of housing components that tend to fail when subjected to corrosive exhaust gasses over a prolonged period of time.