The latest expressions of outrage came after records of interrogations carried out during martial law were found in an abandoned Ministry of Justice building in Taipei County.
During Taiwan's "White Terror" more than 100,000 people were imprisoned or executed for allegedly opposing the government of Chiang Kai-sked.
"How can important documents that hold vital information about the White Terror-era be discarded this way?" said Wong Chin-chu, a lawmaker with the Democratic Progressive Party. "We think someone should take responsibility for this."
Other DPP officials demanded an official investigation into the interrogations of DPP leaders and other government opponents in 1949-92, the Taipei Times said Thursday. Party members also alleged that the government was in violation of the law requiring the documents to be turned over to the National Archives Administration.