He was 82.
Kapse, who was ailing for last eight years, breathed his last at his Kalyan residence in adjoining Thane district at around 4 am, Maharashtra BJP chief spokesperson Madhav Bhandari told PTI.
His last rites will be performed in Kalyan today.
Kapse, born on December 1, 1933, was a former Lt Governor of Andaman and Nicobar Islands.
He was a prominent leader of BJP in Maharashtra and represented Thane in the 9th and 10th Lok Sabha.