Elnaz Nobahar Alamdari - Department of mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Islamic Republic of Iran.
Mehrdad Azadi - Department of mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran.
Hossein Doostie - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Islamic Republic of Iran.

In this paper, we study the excess of continuous K-g-frames and give some results about this notion.Also, we extend the concept of atomic system to continuous version and study its relations by continuous K-g-frames. Indeed, we give some equivalent  characterizations for continuous K-g-frames.  As well as, the relationship of a continuous K-g-frame and the range of operator K will be verified. Finally, we study the induced cK-frames by continuous K-g-frames.