Damages are the money paid to make up for harm done. Award damages, claim damages, punitive damages.
The plural is the legal term and it is a different thing from damage: damage is the harm and damages are the payment for it. The usual aim is to put the claimant back where they would have been, which is why most damages are compensatory. Punitive or exemplary damages punish instead, and are rare in Britain. Note nominal damages, a token sum awarded when a right was breached but nothing was lost.
1noundamagesMoney paid to make up for harm done.
“The newspaper had to pay damages to the actor for printing lies about him.”
damages is compensation.