Dropbox doesn't remember the connection to my account

Dropbox doesn’t remember the connection to my account after reboot of computer. It opens a web browser after each boot and starts the connection procedure:

Would you like to connect the computer localhost to your Dropbox account (qqq@xxx.com)? If you didn’t request this, please click cancel.

when I confirm the connection the Dropbox works fine.

I’ve tried to install the Dropbox via package manager (dropbox-cli) and also manually by downloading the installation files from Dropbox web page. Neither the way helped.

Do you know what might be wrong?