He said after the completion of the programme headed by him at Tanjavur on Monday, "Those belonging to AIADMK damaged furniture, tore and set on fire flex boards while my effigy was burnt."
A van carrying DMDK workers who were returning from the function was attacked at Kumbakonam, he alleged.
"Having remained quiet for one day, Chief Minister Jayalalithaa has issued a statement saying DMDK men were involved in unwanted acts," he said.
"I say it again. I feel ashamed for aligning with her. I regret it," he said.
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Further, he had instructed his partymen to stay calm even if AIADMK men targeted him or attacked him, Vijayakanth said, adding, they had abided by his word.
The government was enacting a "drama" through this episode to "divert" focus from the post-flood situation, where it had not delivered properly, he alleged.
He said that even after Jayalalithaa's direction that no protests should be held against him in the wake of the Tanjavur incident, his effigies had been burnt at Kanyakumari, Ariyalur and Villupuram district, and asked if this was their "discipline".
Jayalalithaa had on Tuesday charged Vijayakanth and his partymen with trying to bring disrepute to the AIADMK by misleading them from public service and had asked her partymen to stay focused on delivering to the people.
Meanwhile, BJP leaders Muralidhar Rao and Pon Radhakrishnan met Vijayakanth today, in a meeting the party described as a "courtesy call".