Ms Sitharaman's convoy moved as stones hit the rear end of the vehicle in which she was travelling, the police said, adding the vehicle was not damaged.
The DMK workers were removed from the spot and arrested later, police added. BJP workers, who were following the convoy, shouted slogans against DMK after the incident.
Ms Sitharaman was visiting Ramanathapuram and Virudhunagar districts in Tamil Nadu to review the central government's schemes.
Tamil Nadu's main political parties, including DMK and the Congress, have been staging protests for the formation of the Cauvery Management Board after the Supreme Court's February 16 order of setting up a regulatory body that would monitor the release of Cauvery river water to Tamil Nadu by Karnataka.
Several Indian Premier League (IPL) matches, which were to be organised in Chennai, had to be shifted to Pune, as the police expressed their inability to provide security amid protests over the Cauvery Management Board issue.
With inputs from PTI
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