Damage is generally used for objects and plants, whereas hurt is generally used for people and animals. "Don't hit the table. You will damage it." "Don't hit the dog. You will hurt him."

This is the basic difference: 'Hurt' means to cause PAIN - either physical or psychological. 'Damage' means to harm or spoil something. This causes some kind of negative CHANGE that has to be repaired, or is permanent. Objects are damaged. If you damage something you break, tear, dent, split, chip, it or make it unusable. You can damage clothes, shoes, an appliance, a car, a piece of furniture, and so on. Objects cannot feel pain, so you can never hurt an inanimate object! As Colin says, plants come under the category of inanimate objects : you can damage a plant - if you tear its leaves, for example - but you can't hurt it. Living things can be hurt. If someone cuts your skin, this hurts you physically. If someone says something unkind, this hurts you emotionally. It is possible to damage a person, but this is a serious long-term effect. We could say that a person is psychologically damaged if they have suffered a serious trauma that they can't recover from, or which needs therapy. Likewise, you could say that a part of the body is damaged if it has an injury that does heal on its own .e.g. 'I have a damaged knee ligament from a a bike injury when I was a child.' This suggests that the condition is permanent.

Damage physical harm that impairs the value,usefulness Or normal function of something Hurt to feel pain in a part of your body or to injure someone or couse them pain.

Damage is measured destruction of any type. "how much damage did you sustain during the fight? " Damage can also be used synonomously with hurt in some cases. Ex: please do not damage(hurt) my heart with infidlety. Furthermore, the word hurt doesn't change in the past tense. Only in the present(hurts). Hope this helped