continuously vs incessantly

continuously and incessantly both are adverbs.

Word	Noun	Adjective	Verb	Adverb
continuously	No	No	No	Yes
incessantly	No	No	No	Yes

As adverbs, continuously and incessantly are synonyms defined as:

Other synonyms of continuously include ceaselessly, endlessly, unceasingly, unendingly.

continuously (adverb)	incessantly (adverb)
at every point	invariably
with unflagging resolve	with unflagging resolve