Chief Minister J Jayalalithaa chaired a review meeting with her senior cabinet colleagues and officials here to discuss the situation and directed them to file the plea.
"In order to ensure that Tamil Nadu gets its due share of water, the Chief Minister has directed to file a contempt petition against Karnataka government which has unilaterally stopped releasing water, amounting to dishonouring the Supreme Court verdict," an official release here said.
The move by Karnataka also impeded the federal structure of the country, it said.
Karnataka has stopped releasing water from Cauvery river to neighbouring Tamil Nadu with effect from 7.30 pm on Monday.
Karnataka was releasing water from Krishna Raja Sagar and Kabini dams to ensure flow of 9,000 cusecs [Cusec is a measure of flow rate and is informal shorthand for cubic feet per second (1 cusecs = 28.317 litres per second)] of water to the neighbouring state since Sept 29. The state was implementing the order of the Cauvery River Authority (CRA).
The release of Cauvery river water led to widespread protest across Karnataka. The protest were mostly headed by farmers and activists of the state.
(With inputs from PTI)