This essay enunciates what might give signs of Socratic irony properly said, which is, the use that historical figure Socrates gave said term and its relationship with the well-known formula of “learned ignorance”. Following this purpose, one must recur to the treatment that Danish philosopher Søren Kierkegaard gave Socratic irony. Putting on a significant level of relevance the heterogeneity that occurs in all of Plato’s dialogues, the first of which made an approach to Socrates and its dual challenge of “irony” and “learned ignorance,” which is necessary to scrutinize and discuss.