Priyanka Chopra posted to her 1.2 million Twitter followers: "Terrible news about the blasts. A request - please do not cause panic by tweeting/ spreading rumours / unconfirmed news."
Madhur Bhandarkar posted: "Resilience of Mumbai again put to test because of the blasts. Heart aches for the victims. Condemn such cowardly acts of terror."
Actor Tusshar Kapoor used Twitter to express his anger at the latest attack on India's entertainment capital: "Completely resent what has happened in our city, high time these cowards are hanged and don't just languish in our jails."
Ranvir Shorey, urging restraint to the people of Mumbai, wrote: "We've been here before, #Mumbai. Let not these murderers win, by reacting without any chaos. Let's get back with more calm and efficiency."
The blasts occurred in three areas of the city, in the Opera House district, at the Zaveri bazaar and in Dadar.
Actor Shah Rukh Khan was earlier caught up in a controversy surrounding the 26/11 attacks on Mumbai.