An exhaust gas processing device for an engine, capable of securely warming a combustion catalyst, is provided. A combustion catalyst burning gas is produced when a warming end condition for the combustion catalyst is established, which signifies the establishment of either one of a first condition or a second condition. In the first condition, an inlet temperature of a combustion catalyst is equal to or higher than an activation requirement temperature of the combustion catalyst, and further, an outlet temperature of the combustion catalyst is equal to or higher than an activation confirmation temperature of the combustion catalyst in excess of the inlet temperature of the combustion catalyst. In the second condition, the outlet temperature of the combustion catalyst exceeds a warming confirmation temperature of the combustion catalyst that is set to be higher as an engine speed is lower, for a predetermined period of time.