"So after all that coaxing by my digitally savvy daughters, I am finally on Twitter. Let's connect," Anil posted in his first tweet on Tuesday.
Both Sonam and Rhea are active on social networking sites.
The actor, who has featured in films like 'Race 2' and 'Shootout at Wadala' this year, is busy gearing up for his debut TV production - the Indian adaptation of hit international TV series '24' for Colors channel.
In the desi version, Anil features in the lead role of Counter Terrorist Unit agent Jack Bauer, which was originally essayed by actor Kiefer Sutherland.
The TV show, which also features veteran actress Shabana Azmi, is directed by Abhinay Deo. The date of its telecast is yet to be revealed.