The actor said the incident made him feel 'distressed, disturbed and frustrated'.
"T 1083 - Distressed, disturbed and frustrated to learn of the rape of a 5 year old in Delhi.. now fighting for her life !! A shame !!" Bachchan tweeted.
"T 1083 -Something is going horribly wrong with us as a society !! Prayers for the little girl as she fights for her life !!" he said.
"Have no energy left to write think and communicate the horror of this crime !!" Bachchan posted in his micro-blogging site Twitter homepage.
Condemning the incident, Bachchan wrote on his blog: "The horror of the latest crime of rape and then attempt to kill a 5 year old little girl, leaves me numb and without voice ! These evil beings are not fit to be called animals ... even animals have certain codes of conduct !"
He said such criminals should be handed over to the general public.
"Jails are not the solution ... keeping them bound and confined shall not change them or their thinking ... they need to be made examples of ... they need to be shamed first publicly and then left to the public to deal them justice in which ever way they seem fit !!" Bachchan said.
The national capital went on a protest mode once again on Saturday against crimes against women after the brutal rape and mutilation of the five-year-old girl even as the police facing anger for their initial inaction in rescuing the victim and browbeating her parents arrested the accused from Bihar on Friday late night.
New Delhi began witnessing the protests that were visible after the brutal gang rape and subsequent death of Nirbhaya, the paramedical student who was subjected to the horror on a bus on Dec 16 last.
Police on Saturday said the 22-year-old man who allegedly raped and mutilated the five-year-old girl by inserting foreign objects in her private parts in New Delhi, triggering widespread outrage, was arrested from Muzaffarpur in Bihar on Friday late night.
The accused has been identified as one Manoj Kumar who tried to escape to his in-law's place in home state Bihar but was tracked through his mobile phone location.
Doctors at All India Institute of Medical Sciences (AIIMS) in New Delhi treating the girl said she is stable now.