The meeting is attended by 363 lawmakers, Prime Minister Emil Boc and Cabinet ministers, and is presided by Senate Chairman Mircea Geoana.
The Government needs 236 votes in favor to set up the new ministry and appoint Orban as minister.
The Parliament’s committees for administration and European affairs on Monday endorsed Orban for the position of minister with a majority of votes.
The opposition has pledged not to vote for the Government’s proposition to create a new ministry in charge of EU funds.