The Tamilaga Vettri Kazhagam (TVK) celebrated its victory in the by-election by bursting firecrackers and distributing sweets near the Gandhi statue in Eral, Thoothukudi district.
TVK MLA from Srivaikuntam Annai Saravanan led the celebrations and distributed sweets to party functionaries, members of the public and shopkeepers.
Speaking to reporters later, Saravanan alleged that the opposition AIADMK and DMK were jointly spreading false propaganda against him.
He urged the public to inform him immediately if anyone sought money in his name.
In Melur, in Madurai district, jubilant TVK members set off firecrackers, blew whistles and distributed sweets to the public at several locations.
Party workers, led by central union secretary Manosh Kumar, held celebrations near the Melur MLA's office. Celebrations were also held in front of the Melur bus stand.
At the party's district headquarters, workers, leaders and supporters cut a cake - bearing a victory message - and celebrated the party's win in the by-polls.
Similar celebrations were reported in Kottampatti, Saruguvalayapatti and other areas, where party workers distributed sweets and burst firecrackers.
Chief Minister Joseph Vijay's TVK took both assembly seats - Dharapuram in Tiruppur district and Madurantakam in Chengalpattu district - in the by-polls held on October 6.
P Sathyabama was elected in Dharapuram and Maragatham Kumaravel in Madurantakam.
The polls were seen as a test of Chief Minister Vijay's popularity among the voters after he formed a coalition government in May.
The run up to the polls saw a high-visibility campaign which featured high-profile leaders of Tamil Nadu's major political groups.