Jabar Ali al-Luaibi described December exports as the "highest and unprecedented" so far.
November daily exports from government-controlled fields in central and southern Iraq stood at 3.407 million barrels.
The ministry's statement did not release figures of crude exports through Iraq's northern pipeline network run by the semi-autonomous Kurdish region, which typically average about 600,000 barrels a day.
The heart of the country's oil industry is in the mainly Shia central and southern parts of Iraq that were spared the June 2014 blitz by the Islamic State [IS] group, which seized large stretches of the country's north and west, including oil fields and facilities.
Al-Luaibi underlined that the December levels will not affect Iraq's commitment to cut daily production as per the OPEC deal aiming to lower output for a six-month period by 1.2 million barrels per day to prop up plummeted oil prices, starting from January 1.
The 14-member group is supposed to produce 32.5 million barrels per day.
Non-OPEC nation also agreed to pare an additional 600,000 barrels a day off their production.
Iraq, OPEC's second-largest producer, already started measures to reduce output by 200,000 barrels a day to 4.351 million barrels since early this year, as per Iraq's share in the deal, the oil minister added, expressing his satisfaction that current oil prices hover around 53 US dollars per barrel, from around 40 US dollars before OPEC dead.
Iraq, where oil revenues make up nearly 95 percent of the budget, has been reeling under an economic crisis since late 2014, when oil prices began their descent from a high of above 100 US dollars a barrel.
The 2014 onslaught by IS has exacerbated the situation, forcing Iraq to divert much of its resources to its 2-year old costly war.
Iraq's 2017 budget stands at about 100.67 trillion Iraqi dinars, or nearly 85.17 billion US dollars, running with a deficit of 21.65 trillion dinars, or about 18.32 billion US dollars.
That's based on an oil price of 42 US dollars per barrel and a daily export capacity of 3.75 million barrels from all of Iraq.
Iraq holds the world's fourth largest oil reserves, with some 143.1 billion barrels.