rotation of life or something similar?

The "eternal succession of lives" in English is written: The eternal succession of lives.

Kaje reference is seldom made to the lives therein, while the whole thing is simply called "Eternity"

https://www.google.ca/#q=eternal+succession+of+lives

Well, if I translate the phrase used in my language, it is circulation of life, or gyration/rotation /rotary motion / circumvolution / circuit / circle of life. Is not one of them used in English?

No, eternity is very different than what I thought about.

((sigh)) Circle of Life is a bloody Disney song from the Lion King.

You mean this, maybe:

The American Association for the Advancement of Science refers to it as The Cycle of Life.

Of course Kaj as eternity doesn't necessarily entail life. However I'm uncomfortable with the idea of a circle and can't see why or how it should rejoin

We talk of cycles of life, the life cycle, phrases like that.

Really bloody.

As far as I know, l"ife cycle" refers to the course of a life, not to the succession of lives, which is very different.

Perhaps you're referring to the South Asian or eastern philosophical concept of karma?

Karma is part of it: Bhavacakra

????????????? NO! I'm talking about no religion. But about the simple thing that lives come to an end, and new living beings appear, not with the souls of the previous ones. It is called "the rotation of life", or something similar in my language, but it isn't said in English, as I see.

I believe you to be wrong.
It can mean one life, but has wider and more general connotation.

[How] What is it called [that] when living beings continually die and new lives come into being on Earth. [How] What is this eternal succession of lives called in English?

'Circle of life' works for me in describing that, KaJe, but there may be a better one that eludes us all.

Life Cycle

"The life cycle of the frog" doesn't just concern an individual, let's call him Freddie Frog, but all frogs.
Similarly "The cycle of the seasons" is not just for 1906, but for every year.

I agree, McTag.

Now I'm sure it isn't said in English because you don't understand what I'm talking about. In my language too, "the life cycle of the frog" is said, which means all frogs, and it is like "a horse is eats oats." One horse is said, but actually it is about all horses. And yes, I can mention the life cycle of the product, for e.g. a tv, which doesn't mean the one Mr. John Smith buys in a shop, but all the same kind of products which go out of the factory. But in all these cases the many things act as one thing. And opposed to this, I'm talking about the case which has nothing to do with this thing, i.e. "life cycle." Though even this can be regarded as one, if I say "life as such." It means herbal, animal and human life at the same time. The "rotary motion of life," or "going round of life" means the thing life as such "does" through the deaths and reproduction of all living individuals.