Kali Linux: On install, designated root password cannot login - incorrect password
Try this in login window:
Username: root
Password: password
the "root" is exactly word "root", means root user
the "password" is the password you created during installation.
From: https://forums.kali.org/showthread.php?18428-Username-PW-login-failure-to-Kali-Linux
Boot your machine with a live CD, mount your hard drive, chroot to your hard drive and change password.
Reboot without the live CD, now your new password should give you access.
I found a way to get around the problem, try this as it worked for me: in the terminal type
sudo su
it will ask for your userpassword and make you root/superuser
some operating systems do not like you to login as root