A 42-year-old man, Dinesan, was arrested in connection with the defacing of Mahatma Gandhi statue in Kannur district of Kerala, police said.
Police said he was mentally unsound and later released on bail.
Gandhi's bust near the Thaliparamba taluk office was found defaced in the morning with its spectacle carving damaged and a garland on it seen lying nearby.
Meanwhile, at a residential locality in Chennai, a bust of Dalit icon B R Ambedkar was found with paint smeared on its face and head.
The bust is placed inside a structure covered with a grill in a residential neighbourhood in Tiruvotriyur in North Chennai.
Police assured the agitated local people that action would be taken against the culprits.
"Based on a complaint from the local people, we have registered an FIR and two special teams have been formed to trace the culprits," Deputy Police Commissioner G Shashank Sai said.
More police pickets have been posted in the area for maintenance of law and order, he said.
A series of incidents of desecration of statues of various leaders, including Ambedkar, rationalist E V Ramasamy "Periyar" and Jana Sangh founder Syama Prasad Mookerjee, have been reported from different parts of the country over the past few days.
However, facing flak from political parties in the state, he later deleted the post and blamed his social media administrator for the lapse.
He also expressed regret for the comment.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)