The authors evaluated the ability of local climate to cause frost damage on stone remains. The relation between the breaking of porous stone and the amplitude of temperature change was examined using a tertiary tuff (Ohya ishi). Specimens were broken heavily by freeze-thawing cycles larger than -4° ~ +4°C. This temperature change was believed, from calculation, to cause freezing and thawing at a depth of 10-20 cm within a rock. In an outdoor experiment the freezing-thawing cycles were observed at a point 5 cm below the surface of a tuff sample when the outdoor temperature changed about -5° ~ +5°C. The authors defined the day when the temperature changed greater than -4° ~ +4°C as a possible day for frost damage of stone remains to occur by freezing-thawing cycles. Climate data from October 1983 to May 1984 were examined at 838 points in Japan. The area having large number of days for potential frost damage is the northern part of Kanto district. The climate of this area is, however, usually dry in winter, so frost damage would not occur unless a stone remain has a supply of water. In snowy and cold districts, such as Hokkaido and Niigata prefecture, the days are observed mainly in the season of thaw. If the freezing-thawing cycles occur frequently in this season, there will be two suitable conditions for a frost damage; frequent freezing-thawing cycles and a supply of water. Fragile stone remains will certainly be destroyed in some years if no preservative measures are taken. The distribution map of freeze-thaw cycles will be of great use in considering the protection of stone remains.