Members across party lines condemned the incident and urged the government to take legal action against the club.
Speaking on the issue, DMK's M.K.Stalin said such a practice is followed by many clubs like the Gymkhana Club, MCC Club and the Boat Club.
He said that to encourage the youth to wear the traditional Tamil dress, a dhoti day is organised by the state run Co-Optex.
Stalin said significant contributions have been made by dhoti-clad people for the country.
The TNCA Club recently denied entry to Justice D. Hariparanthaman and two senior advocates for being clad in a dhoti. They went to the club at an invitation to attend a book release function.
The book "Legal Fraternity Embraced Me" was authored by former acting chief justice of Madras High Court Justice T.S. Arunachalam.
DMDK member V.C. Chandhirakumar said wearing dhoti is part of Tamil culture and urged the government to take action against the club.
Similarly, A.Soundararajan of the CPI-M condemned the incident as shameful.
Responding to the views of the members, Minister for School Education K. Veeramani said the government will consult the legal department on the matter and take appropriate action.
He said the clubs are registered under Societies Act and have their own by-laws.