"AIADMK needs to be in power at the Centre so that Tamil Nadu's demands are heard and addressed," Jayalalithaa said, asking people to ensure their interests are protected and promoted.
She also said the change of the government at the Centre was necessary for "Sri Lankan atrocities on our fishermen to stop completely".
Last year, she had said "if Tamil Nadu has to survive, prosper and progress, we will have to win all seats from the state and Puducherry".
"Only then we will be able to lead the country after the Lok Sabha elections," she told a gathering last year.
Her party announced support for the recently formed, Left-led Third Front comprising 11 regional parties.
On Monday, she reiterated, "The state government can alone not solve all issues such as kerosene allocation, katchatheevu issue, Lankan Tamils' problem."
She listed 10 instances she said showed how the Centre had betrayed Tamil Nadu and accused it of snatching away rights of states.