Damage
Harm
noun
When you get covered in damage, you can't avoid it — you really suffer damage.
被害 refers to damage or harm that someone suffers because of some unfortunate occurrence, like a crime, accident, or disaster. As the kanji 被 suggests, it emphasizes being on the receiving end of the harm, not just the damage itself. You'll mostly see it in serious contexts where victims or losses are being discussed — news articles and official reports, for example.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.
この町は、山火事の被害は受けませんでした。
This town wasn't damaged by the wildfire.
被害にあった方がガマンしなきゃいけないなんて、おかしいよ！
It's not right that the victim has to be the one to endure it!
今回の地震では、色々な場所で大きな被害が出ています。
This earthquake has caused significant damage in many places.