Sudarshan, 81, is survived by a brother and sister.
The ex-RSS chief, who had arrived in the city two days back, died at the RSS office here around 7 AM.
His body will be taken to the RSS headquarters in Nagpur later today and the funeral will be held tomorrow.
Sudarshan hailed from Kuppalli village of Mandya District in Karnataka.
He served as Pracharak of Rashtriya Swayamsevak Sangh (RSS) for six decades and became its Sarasanghachalak in 2000 and held the post till 2009.
In August, he had gone missing from his brother's house in Mysore in Karnataka and found after a five hour search.