I would like to share my experience here to root Galaxy Note 3 (SM-N9005) on Android 5.0
First make sure Reactivation Lock is disabled in Security Settings.
Download TWRP recovery tar file from TWRP site.
Download Flashable zip of SuperSU from chainfire's site:
Place this zip inside your phone/sdcard
Download ODIN 3.09 from here:
Put your phone in download mode.
Through ODIN Flash TWRP recovery tar file and make sure not to check AutoRestart option. If you didn't do so, phone will reset stock recovery on reboot.
After Process is finished, pull out phone's battery and insert after 30 seconds.
now go to recovery and flash SuperSU zip file.
Don't forget to reset phone through recovery. In my case it caused some problems. So I've to reset phone.
Hurrah you phone is now root on Android 5.0