BEIRUT, Sept. 3 (Xinhua) -- Lebanon's Prime Minister-Designate Saad Hariri presented Monday a new proposal to President Michel Aoun on the government formation, local media reported.

Hariri said after meeting with President Aoun that the new proposal was not discussed before, and is made to form a national unity government, reported National News Agency.

He added that further discussions are needed with the president and different political parties to agree on the ministers to be appointed.

Meanwhile, the president's media office issued a statement that Aoun made a few remarks about the new proposal, saying the president "will be in touch with prime minister designate in a bid to reach a new formula for the future government."

Hariri is facing various hurdles in his attempt to form a 30-member national unity government, due to the rifts among rival politicians over the representation of the main Christian parties as well as the Druze sect.

Some progress happened lately in the cabinet formation as Lebanese Forces Chief Samir Geagea agreed to revoke his demand to hold the post of deputy prime minister in addition to a sovereign ministry in return for four ministries.