Besides at the centre, the PML-N is set to form government in Punjab and Balochistan provinces.
Sharif will preside over the meeting, which will decide on a plan of action to tackle the country's pressing problems, including terrorism and power cuts.
The meeting will also discuss matters related to the formation of the governments at the centre and in the provinces, PML-N officials said.
According to a PML-N official, the names of members of the federal cabinet too will be discussed and Sharif will take the lawmakers into confidence in this regard.
The PML-N bagged 124 of the 272 directly elected seats in the National Assembly or lower house of parliament.
Some 20 lawmakers, including independent candidates and members of smaller parties, have either joined the PML-N or said they will back party, giving it a simple majority in the National Assembly.