A method for manufacturing a ceramic shell-and tube type heat exchanger provided with fins includes the steps of: inserting heat transfer tubes of sintered tubular ceramic into throughholes of tubular plates of unsintered plate-like ceramic each having a plurality of the throughholes for fixing the heat transfer tubes inserted thereinto; standing the heat transfer tubes vertically to a floor surface; positioning the tubular plates at both the upper and lower end portions of the heat transfer tubes; disposing between the tubular plates many fin plates of unsintered ceramic so as to pile up the fin plates in the direction of a length of the heat transfer tubes, each of the fin plates including a thin plate having a plurality of throughholes for fixing the heat transfer tubes inserted thereinto, and protrusions formed on both edge portions of the thin plate; firing the components so as to unitarily join them by the utilization of differences of firing shrinkage ratios among the heat transfer tubes, the tubular plates, and the fin plates; and removing the protrusions from the fin plates.