The home ministry has also asked the state government to do the needful to maintain public order and restore peace.
"Adequate central security forces and state police are available in Tripura for maintaining law and order and restoring peace," a home ministry spokesperson said in New Delhi.
Union Home Secretary Rajiv Gauba has spoken to Chief Secretary Sanjeev Ranjan and Director General of Police A K Shukla and asked them to take all possible steps to maintain law and order, check violence and restore peace and public order, he said.
Sporadic violence and clashes between rival political groups were reported in different parts of Tripura after the election results were declared on Saturday.
A statue of Lenin was destroyed at South Tripura's Belonia town yesterday with the help of a bulldozer. The violence followed the BJP's victory in the recently concluded Assembly elections in Tripura, where a 25-year Communist government was ousted.