Prime Minister Narendra Modi had strongly condemned the incidents and warned of stern action against those found guilty.
"BJP is not behind me. Today Lenin's statue, tomorrow Tamil Nadu's EVR Ramaswami's statue", allegedly triggering the attack. Tamil Nadu is a haven of peace. "People are behind me", he added.
Congress president Rahul Gandhi on Tuesday blamed the Centre-ruling Bharatiya Janata Party and its ideological parent, the Rashtriya Swayamsevak Sangh for the vandalisation of late social reformer EV Ramaswamy alias Periyar's statues in Tamil Nadu.
The accused who targetted the Periyar statue around 9 pm were both drunk, one of them was a BJP member and another a CPI worker, say reports.
The district authorities swung into action on hearing about the incident, carried out fix works and restored the statue to its original state by 8 am, they said.
The statue unveiled by Dravidar Kazhagam leader K. Veeramani in 2013 is maintained by the district unit of the party.
A large contingent of police has been deployed in the area to prevent any untoward incident.
The police have filed a case against unknown culprits and an investigation is underway.
Earlier, BJP national secretary H Raja had threatened to take down Periyar's statues, similar to the Lenin statue that was vandalised and razed in Tripura after the BJP's poll victory in the state.