Food Minister K V Thomas introduced the fresh Bill after withdrawing an earlier one along with the ordinance which was promulgated on July 5.
Moving the National Food Security Bill, 2013, which promises to give right to the country's 80 crore people to get 5 kg of foodgrains every month at Rs 1-3 per kg, Thomas said there is nothing in it against the states.
He said any concern could be debated upon when the bill comes up for discussion in the House.
Earlier, AIADMK member M Thambidurai opposed introduction of the bill saying it is against the Constitution and federal system.
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"It is not Food Security Bill, it is actually Food Insecurity Bill," he said, adding it should brought only after consultations with states.
Contending that the bill has "several flaws that have created serious apprehensions", he said the legislation amounts to "interfering with state governments".
He said the bill would result in additional financial burden of around Rs 3,000 crore to the state exchequer.
DMK leader T R Baalu also said his party has issues with the bill in its present form and would move amendments.
"It should not be detrimental to the state's off-take (of food)," he said, noting that the proposed legislation will have far-reaching implications.