Shops in some places were closed and a close watch was being maintained on the situation, police said.
However, no untoward incident was reported, they said.
DMK-backed Tamil Ealam Supporters' Organisation had called for a general strike today to press India to vote in favour of a US-sponsored resolution against Sri Lanka at the United Nations Human Rights Council (UNHRC) meeting in Geneva.
DMK chief M Karunanidhi, who had revived TESO last year floated by him in the 1980s, had called for peaceful protests.