deliberately vs on purpose

deliberately and on purpose both are adverbs.

Word	Noun	Adjective	Verb	Adverb
deliberately	No	No	No	Yes
on purpose	No	No	No	Yes

As adverbs, deliberately and on purpose are synonyms defined as:

Other synonyms of deliberately include advisedly, by choice, by design, designedly, intentionally, purposely.

deliberately (adverb)	on purpose (adverb)
with intention; in an intentional manner	with intention; in an intentional manner
in a deliberate unhurried manner