without stop or pause; unending; incessant.

1580–90; cease + -less

ceaselessly, adverb
ceaselessness, noun

endless, continuous, constant, unceasing.
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
ceaseless (ˈsiːslɪs)
without stop or pause; incessant

Collins English Dictionary - Complete & Unabridged 10th Edition
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Example sentences
Others were on the move, specks of light streaming ceaselessly toward us as
  mesmerizing as a computer screen saver.
That's a giant leap forward for a ceaselessly derivative era swarming with
The cotillion was detested and finally banned by the majority who wanted to
  dance ceaselessly throughout the evening.
She, for her part, has played the perfect candidate by sticking closely to her
  sound bites and smiling ceaselessly at the camera.
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