To provide a hybrid heat exchanger capable of extending a durable period, while avoiding the upsizing, without using a high grade material such as a high alloy.

Plural sheets of tube plates 1 are arranged at prescribed intervals in a thickness direction to form a plural steps of flat spaces 3A and 3B with fluid passing therein. In the formed plural steps of spaces 3A and 3B, rows of tubes constituted by making a plurality of tubes 4 in parallel in a radial direction and corrugated fins 5 are alternately arranged. High temperature fluid is made to flow into the space 3A arranged with the rows of tubes and low temperature fluid is made to flow into the space B arranged with the corrugated fins 5. This exchanger is suitable for a device for preheating air by exhaust heat recovery in a solid electrolyte fuel cell.