discernment vs insight

discernment and insight both are nouns.

Word	Noun	Adjective	Verb	Adverb
discernment	Yes	No	No	No
insight	Yes	No	No	No

As nouns, insight is a hyponym of discernment; that is, insight is a word with a more specific, narrower meaning than discernment:

discernment (noun)	insight (noun)
the trait of judging wisely and objectively	grasping the inner nature of things intuitively
the mental ability to understand and discriminate between relations	the clear (and often sudden) understanding of a complex situation
the cognitive condition of someone who understands	clear or deep perception of a situation
perception of that which is obscure	a feeling of understanding
delicate discrimination (especially of esthetic values)