A cylindrical hole is formed between peripheral belt portions of two container constituent plates of a thermal storage material container of an evaporator with a cool storage function. A cylindrical portion of a thermal storage material charging member having a thermal storage material charging passage is disposed in the cylindrical hole and brazed to the two container constituent plates. That portion of the thermal storage material charging member which protrudes from the cylindrical hole includes a crushed portion and a cylindrical uncrushed portion. The crushed portion seals the thermal storage material passage. The cylindrical portion of the thermal storage material charging member is smaller in outside diameter than the uncrushed portion, and the cylindrical portion and the uncrushed portion have the same inside diameter. The cylindrical portion has an inward protrusion protruding into a thermal storage material containing space, and the inward protrusion has a radially expanding engagement portion.