The initial order was due to expire at midnight, but will now last until 12 a.m. Thursday.
The ministry also decided to extend the lockdown to all towns and cities within the two governorates. Previously it had only applied to the major urban centers, NRT reported.
Minister of Interior Rebar Ahmed said in a press conference on Sunday that the new curfew would be more relaxed with the two governorates given the authority to allow additional bakeries and shops to open so that residents can shop for food and other necessities.
Ahmed also said that the government cannot implement the measures to distribute salaries, but will do so when the situation returns to normal.
Additionally, the ministry set Tuesday as the final deadline for people who are outside the Kurdistan Region to return. After that the border would be closed until April 1.
There have been 29 cases of coronavirus in the Kurdistan Region so far. One person has died and another has recovered.
Reporter's code: 50101