According to The National, the laws which will be repealed include the Judicial Conduct Act 2012, Supreme Court (Amendment) Act 2012, Parliamentary Powers and Privileges (Amendment) Act 2012, Prime Minister and National Executive Council (Amendment) Act 2011 and Prime Minister and National Executive Council (Amendment No.2) Act 2011.
"The coalition government that I lead now has agreed to correct the wrongs of the recent past by repealing these controversial laws," O'Neill reportedly said.
"We have done so to restore confidence in the judicial, legal, political and administrative systems and processes established by the Constitution."
The laws were generally passed in reaction to Supreme Court judgements which ruled that NAP leader Sir Michael Somare was the rightful PM instead of parliament-dominating O'Neill.
The politicial and constitutional crisis emerged on August 2, 2011 and was not over until Somare and his party teamed up with the O'Neill-led coalition after the midyear election.