It is necessary for me that the information about ussers undertook not from the table minibbtable_users and from members (My personal table), and inside to the table were weeding not with user_... The name and it is simple _... (The Example: user_id to notice on id, username not to replace, user_regdate on regdate etc.).

(if I understood correctly what do you mean)

Check this article:

Synchronizing miniBB with 3rd party users table

I rewrote it just yesterday so I hope now it is completely clean even for beginners how miniBB could be concatenated with the external users table.

I badly speak on English, and I not that have not understood from your article.
It is necessary for me that miniBB used base with already existing users

If you don't understand how to make it possible, we are providing only paid support regarding this topic. It's said in the article.

And yes, it covers how to integrate miniBB with an existing users table.

Thanks a lot Paul! I wiil try to integrate minibb with cms I'm thinking to use.
By the way, Paul, do you have ready integration with joomla 1.0.15 and how much does it cost?

I don't have a ready integration with Joomla, but I suppose following techniques described it could be easy and it's within our standard rates per synchronization (i.e. $70).