Chiang, who died at 87 in 1975, remains a controversial figure in Taiwan. The island became a refuge for mainland Chinese after the Communist takeover in 1949, and Chiang led an autocratic regime that dominated the native Taiwanese.
Chen has already removed Chiang's name from an avenue, the presidential mansion and the international airport.
"In the future, the government will see to it that such feudalistic monstrosities as the Chiang Kai-shek Memorial Hall and his mausoleum at Tahsi are abolished," he said.
Chiang and his son, Chiang Chen-kuo, are buried in the same mausoleum. The government has been negotiating with surviving family members on moving the bodies.