An evaporator including an evaporator core having a refrigerant inlet and a refrigerant outlet in one side portion thereof, and a connecting member joined to the side portion of the core and having in its interior a refrigerant inlet channel and a refrigerant outlet channel. The connecting member includes first and second plates. The second plate has an inlet channel recessed portion and an outlet channel recessed portion provided, each in the bottom wall thereof, with an inlet pipe connecting opening and an outlet pipe connecting opening, respectively. The first plate has on the outer surface thereof a refrigerant flow smoothing projection projecting toward the inlet pipe connecting opening. Refrigerant flowing into the inlet channel flows along the projection surface, thereby changes its flow direction smoothly and is less likely to produce a turbulent flow. The evaporator is therefore adapted to prevent occurrence of noises due to refrigerant flow.