The 67-year-old actor, who lodged a complaint against the person, is angry that the blogger is targetting his grand children in his messages.
"There is a limit to which this can be tolerated. I can be a gentleman up to a point. But beyond that I shall stop being one. You go to the level of so much as touching my family and little innocent grand children and you shall have to pay extremely dearly," Bachchan wrote on his blog.
The superstar said he has been getting a "barrage of messages of support" since the matter was picked up by the media.
"The media picked up our blog of yesterday and spread it out into the world of information and now for the entire day there has been a barrage of messages of support, of wanting to catch the culprits and take them to task, of grave indignation and of being incensed by this show of absolute garbage that has been directed towards me," he wrote.
Amitabh Bachchan praises Air India
Spotted: Amitabh Bachchan in London
Meet Big B's daughter and Akshay's angel!
Big B to promote Champions League T20