There is no password field in the initial registration form. This is intentional, it’s not a bug. Registrants are sent an email with a link where they can set their password. The link in the email looks similar to:
example.com/wp-login.php?login=chosen-username&key=[unique auth code]&action=rp
You might notice this goes to the same form that existing users use to change their passwords.
This process is followed so WP can be assured a proper email address was provided. If users cannot receive email, they cannot get the proper password link.
I give new email address, username and new man is registered immediately. But without password. There is no ew-mail. He can add properties etc
He can add properties without being logged in? That doesn’t sound right, but it’s unrelated to password availability. There must be a functioning email in order for him to be able to set a password. Is other email notifications working for other users? If so, server email is functioning and the problem lies somewhere else along the delivery path. Be sure he checked his mail client’s spam folder for the missing email. It’s also possible his ISP or something else along the line deleted the message unannounced as spam.
A possible workaround for only a few problem registrations is for an admin to assign a new password for them. Once they can log in, they can change the password to anything they want that is unknown to anyone else.