The 74-year-old actor is ahead of superstars like Shah Rukh Khan (22.6 million), Salman Khan (20.7 million), Aamir Khan (19.3 million) and Bollywood stars Deepika Padukone and Priyanka Chopra, who have 16.8 million and 15.8 million followers respectively.
Bachchan, who joined Twitter in 2010, expressed his excitement through a post and shared the news along with a picture of himself sporting a yellow sweater.
"24 million on Twitter! BADUMBA," he wrote.
Bachchan will next be seen in filmmaker Ram Gopal Varma's "Sarkar 3" also starring Jackie Shroff, Manoj Bajpayee and Yami Gautam.