Continuously, endlessly, perpetually, constantly, repeatedly, ceaselessly, without interruption, non-stop, persistently, incessantly, all the time, always, unremittingly, unceasingly, uninterruptedly, round the clock, day and night, consistently, permanently, without a break, without a pause, without respite, without cessation. These are some synonyms for the word 'continually'. These synonyms could be used in place of 'continually' to add variety and interest in writing or conversation. They convey the same meaning, but their usage can bring a different tone and emphasis.