"Now that the Sri Lankan Northern Provincial Council has passed a resolution calling for an international probe into genocide, I request you to kindly consider moving a suitable resolution in the UNHRC," he said in a letter to Modi.
His letter comes days after the Tamil Province in Sri Lanka demanded an international probe into alleged genocide.
Karunanidhi also recalled several resolutions of the Tamil Eelam Supporters' Organisation headed by him urging the Centre to move the UNHRC for an international probe into the alleged genocide in Sri Lanka.
"The UNHRC committee set up to inquire human rights violations of the Rajapaksa government is going to submit its report next month. Tamils anxiously expect India to support adoption of the report in the UNHRC," he urged.
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Ahead of the ensuing visit of Sri Lankan President Maithripala Sirisena to Delhi, the DMK chief said though Tamils had high hopes of a life with dignity and equal rights after his election in that country "what is now happening in Sri Lanka has upset the Tamils."
"The promises and announcements are too many and what has been achieved is either nil or very little."
Though implementation of 13th amendment (an Indian initiative aimed at giving more powers to provinces) in the Sri Lankan constitution is not viewed as a panacea by Tamils, as it does not envisage devolution of land and police powers, it could still be the first step towards effective devolution of powers, he said.
On the "sufferings of Tamil Nadu fishermen going out for fishing in the sea at the hands of Sri Lankan Navy", he wanted it to be discussed with Sirisena to arrive at a lasting solution.