nar·cis·sism
[nahr-suh-siz-em]

noun
1. inordinate fascination with oneself; excessive self-love; vanity.

2. Psychoanalysis . erotic gratification derived from admiration of one’s own physical or mental attributes, being a normal condition at the infantile level of personality development.

Synonyms
1.  self-centeredness, smugness, egocentrism.