Our Right of Damage integrates the assumption that all compensation claims for the injurious result of an action or omission must involve the integral reparation of the harmful consequence, in short, the so-called restitutio in integrum, by virtue of which the victim It deserves to be compensated in all the extremes in which it has been damaged. Also, therefore, in that aggression inflicted on ?the beliefs, the feelings, the dignity of the person or his physical or mental health ... (...). The anxiety, the restlessness, that disturb a person in the psychic ?(SAP of Barcelona of February 8, 2006). In short, it is that the person who has suffered the damage is replenished from any non-pecuniary damage caused by the injury of a good of the person -health, freedom, honor, among others- or their feelings or higher affections. Regardless of those situations in which the moral damage does not present sufficient entity to be claimed, undoubtedly, the essential reason why it does not usually constitute the subject of a lawsuit is precisely because of its evidentiary difficulty. In this paper we analyze the most relevant issues that arise in relation to the quantification of moral damages, of necessary accreditation to be able to integrate the claim substantiated in a litigation.