As adverbs the difference between unceasingly and continually
is that unceasingly is without ceasing (stopping), continuously while continually is in a continuous manner; non-stop.
unceasingly
English
Adverb
(-)
without ceasing (stopping), continuously
continually
English
Adverb
(
en adverb)
In a continuous manner; non-stop.
In regular or repeated succession; very often.