Earlier in the day, UK Secretary of State for Northern Ireland Theresa Villiers announced that she had declined a proposal from new UK Prime Minister Theresa May to assume another role in the Cabinet and had left the government. James Brokenshire was confirmed as the next Northern Ireland Secretary.
"The position of Secretary of State is unnecessary. It should be abolished and all remaining powers of the NIO [Northern Ireland Office] transferred to the Assembly," O’Dowd said.
"She also played a negative role in dealing with the legacy of the conflict, continually placing obstacles in the path of families seeking access to truth," he said.
The UK cabinet was reshuffled following the resignation of former Prime Minister David Cameron and Wednesday's appointment of Theresa May as the new head of government.
The 1968-1998 Anglo-Irish conflict, dubbed The Troubles, claimed more than 3,500 victims and left a further 47,500 people injured in what was one of the bloodiest counter-insurgencies fought in Europe since the end of World War II.