As adverbs the difference between regularly and continually
is that regularly is with constant frequency or pattern while continually is in a continuous manner; non-stop.
regularly
English
Adverb
(
en adverb)
With constant frequency or pattern.
normally; ordinarily.
continually
English
Adverb
(
en adverb)
In a continuous manner; non-stop.
In regular or repeated succession; very often.