Chavan said all those who need protection under the circumstances would be provided with it by the government.
He condemned Shiv Sena leader Uddhav Thackeray and MNS chief Raj Thackeray for "touching a new low" in politics with their comments on Congress General Secretary Rahul Gandhi.
"Nowhere in Indian politics, such a low level of personal allegations is seen. I condemn their utterances," Chavan told reporters.
Replying to questions, Chavan said the current posturing of Shiv Sena and MNS was part of their "political agenda" as both the parties were bracing up for forthcoming civic elections in Mumbai.
"We are also alive to the problems faced by Marathi people and the government will act within the constitutional framework," he added.
Allaying apprehensions over security for Rahul Gandhi who is scheduled to visit Mumbai on Saturday, Chavan said the Congress leader had the cover of Special Protection Group (SPG) and the state police machinery would also do whatever is required.