For posterity!
I found the solution:

in the config.php file,add the line:

$gSetCookieForDomain = 1;

I saw somebody post that have the same problem in previous versions, but these solutions dosn't help me.
All cookies in my Chrome are accepted and I have manually added my domain to the exceptions - websites that can always use cookies in Chrome settings.

Anybody can help me?

Hi, after second login as admin I have a Note: Log-in error! Your browser does not accept cookies! For successful log-in, please, configure your browser to accept cookies from domain.com I only have this probkem in Chrome. If I clear the cookies in the browser it works and I can log in but only once...