Known for his innovative styles and perfume, Miyake built a global fashion brand, which included designing Steve Jobs' famous black turtle neck jumpers.
Miyake was known to work with traditional and modern fashion techniques during his long career.
He died of liver cancer on Friday, and a private funeral has already taken place, Japanese media report.
Born in Hiroshima in 1938, Miyake was just seven years old when the city was devastated by an atomic bomb dropped by the United States. His mother died of radiation exposure three years later.
