Mr Naidu's cabinet colleagues have suggested that he attend the ceremony given his closeness to former Prime Minister HD Deve Gowda, a statement from the party said.
The Telugu Desam Party chief reportedly discussed the issue with ministers though teleconference. He said Mr Kumaraswamy had invited him for the function.
The statement said the ministers mentioned the close ties Telugu Desam Party (TDP) had with Janata Dal (Secular) or JD(S) and Mr Naidu's role in making Deve Gowda the prime minister in 1997.
Get Breaking news, live coverage, and Latest News from India and around the world on NDTV.com. Catch all the Live TV action on NDTV 24x7 and NDTV India. Like us on Facebook or follow us on Twitter and Instagram for latest news and live news updates.