Prime Minister-designate Ismail Haniyeh said the 24-member line-up included one woman and one Christian as well as two senior Hamas officials, Mahmud al-Zahar and Said Siam.
Mr Zahar is the hardline leader of Hamas's parliamentary bloc, while Mr Siam is a rising star in the movement who won the most votes for a single candidate in the January 25 parliamentary election.
"It is a cabinet of professionals, experts and technocrats with a few political figures," said Mr Haniya.
Mr Abbas confirmed that he had received the new government's line-up.
"In the next 24 to 48 hours, I am going to convene a meeting of the executive committee of the Palestine Liberation Organisation to present to it the cabinet list," Mr Abbas told reporters.
"Then the necessary steps will be taken to convene the Palestinian Legislative Council (parliament) for a vote of confidence in the new government."
Pressed by journalists whether he would accept the new government and its program, Mr Abbas said the matter would be considered by the PLO.
Hours before Mr Haniya presented the list to the Palestinian Authority president, the leftist Popular Front for the Liberation of Palestine (PFLP) announced it was following other parties in steering clear of a government led by Hamas.
Hamas had been negotiating with other factions for nearly two months after its election victory but it has now had to stitch together its first ever cabinet from within its own ranks and a smattering of independents.
Mr Abbas's own Fatah faction had earlier also refused to join a government that would not respect international agreements it brokered with Israel, with many leaders happy to watch how Hamas deals with a host of problems including a burgeoning financial crisis.
While the Palestinian leader has little choice but to endorse the
nominations of Hamas, which now has an overwhelming majority in parliament, there were indications he may hold back giving his rubber stamp until Israel goes to the polls on March 28.
Mr Abbas’s spokesman indicated he could wait until after an Arab League summit on the same day in Sudan.
"We don't know if parliament will meet this week to vote on the government or not. That is up to Abu Mazen (Abbas) who is busy with the Khartoum summit," Nabil Abu Rudeina told AFP.
Other secular parties such as Independent Palestine and the Third Way, led by former finance minister Salam Fayad, also declined Hamas's overtures.
The PFLP said it would not join as Hamas refused to acknowledge the supremacy of the PLO, a body of which Hamas is not even a member.
Hamas sources said Zahar would be nominated foreign minister and Siam interior minister while Omar Abdul Razeq, only just released from Israeli custody, would take the finance portfolio.
Israel has said it will not deal with a Hamas-led government unless it overhauls its platform. Hamas is regarded by the West, as well as by Israel, as a terror group for continuing to advocate violence despite embracing democracy.
Israeali Foreign Minister Tzipi Livni saw little sign of a change of heart.
"Israel wants the creation of a Palestinian state but it will not accept being threatened by a terrorist state," she said.
Food shortages
Even before Hamas takes power, relations between Israel and the Palestinian Authority are at one of their lowest ebbs ever.
Despite the protests of the Palestinian Authority, Israel has closed its main trade crossing into Gaza for much of the year on security grounds.
The UN agency for Palestinian refugees warned that the territory was now dangerously short of basic foodstuffs such as bread.
"Flour and wheat are not the only products in short supply. There is a shortage of sugar, oil and many of the other basic commodities," UNRWA's director in Gaza John Ging told reporters.
Foreign ministers of the European Union -- by far the Palestinians' biggest donor -- were due to meet on Monday to ponder how to continue providing aid to needy Palestinians without being seen to endorse a government led by a group which has carried out dozens of suicide attacks in the last five years.