Is the fence illegally installed in public areas by man-made damage to property a damage to public property?

Yes, installing fences on property and destroying fenced property are two independent legal relationships. If the property is illegally installed, it shall bear corresponding responsibilities according to law; But even if the property installation is illegal, no one has the right to intentionally damage the fence. This is a legal principle that citizens are not allowed to kill without authorization after catching the murderer. Article link: Article 49 of the Public Security Administration Punishment Law? Theft, fraud, looting, looting, extortion or intentional damage to public or private property shall be detained for not less than five days but not more than ten days, and a fine of not more than 500 yuan may be imposed; If the circumstances are serious, he shall be detained for more than 10 and less than 15, and may also be fined less than 1000 yuan.