25 June 2012
Last updated at 08:55 GMT
Mr Mursi will now have to appoint a prime minister and cabinet
Mr Mursi could be sworn in on 30 June, although questions remain over the extent of his authority.
The ruling military council has taken control of many of the president's powers and has dissolved parliament.
In his victory speech on Sunday, Mr Mursi, 60, urged Egyptians "to strengthen our national unity" and promised an inclusive presidency.
The BBC's Jon Leyne in Cairo said there was some talk of him having discussions with Nobel peace-prize winner Mohamed ElBaradei, which would provide reassurance to non-Islamists.
Mr Mursi has also promised to appoint a range of vice presidents and a cabinet of "all the talents".
'Revolution goes on' On hearing the news of his victory, tens of thousands of Muslim Brotherhood supporters cheered in Cairo's Tahrir Square, chanting, "Down with military rule!".
Celebrations continued until the early hours of Monday morning, although some protesters remained in the square, saying they would not leave until parliament was reinstated.
Mr Mursi paid tribute to the protesters who died in last year's uprising against former President Hosni Mubarak but also praised the role of Egypt's powerful armed forces.
"The revolution goes on, carries on until all the objectives of the revolution are achieved and together we will complete this march," he said.
He also said he would honour international treaties.
Field Marshal Mohamed Hussein Tantawi, Egypt's military ruler, was among the first to congratulate him on his victory.
But the BBC's Jon Leyne says the question remains how much real power Mr Mursi will have when he swears the oath of office.
He will not have a sitting parliament or a permanent constitution to define his powers or duties.
And the Supreme Council of the Armed Forces (Scaf) which has led Egypt since last year's revolution has issued a series of recent decrees.
The Muslim Brotherhood is seeking a partial recall of parliament so that he is sworn in before MPs rather than the constitutional court.
Responding to Mr Mursi's election, the White House called the result "a milestone for Egypt's transition to democracy".
Congratulating the president-elect, EU foreign policy chief Catherine Ashton called for "an inclusive approach" in Egypt and pledged to work with Mr Mursi and the Egyptian people.
Israel responded to the result, saying that it "values the democratic process" and expected to "continue co-operation" with Egypt's government on the basis of the 1979 peace accord.
UK Foreign Secretary William Hague also congratulated Mr Mursi, saying the election marked "an historic moment for Egypt".
There was confusion over an alleged interview quoted by Iran's semi-official Fars news agency. Fars said Mr Mursi planned to expand relations with Iran to "create a balance of pressure in the region", but Mr Mursi's spokesman denied the interview had taken place.
Egypt's president-elect Mursi begins forming government
Mr Mursi will now have to appoint a prime minister and cabinet
Egypt's
first democratically-elected president, Mohammed Mursi, will start
forming a government, after promising to be a leader for all Egyptians.
World leaders have congratulated the Muslim Brotherhood's candidate who defeated ex-PM Ahmed Shafiq.Mr Mursi could be sworn in on 30 June, although questions remain over the extent of his authority.
The ruling military council has taken control of many of the president's powers and has dissolved parliament.
In his victory speech on Sunday, Mr Mursi, 60, urged Egyptians "to strengthen our national unity" and promised an inclusive presidency.
Continue reading the main story
Mohammed Mursi
- Aged 60, married with four children
- Comes from a village in the Nile Delta province of Sharqiya
- US-educated engineering professor; teaches at Zagazig University
- Rose through the ranks of the Muslim Brotherhood
- Has been praised for his oratory as an MP
- After toppling of Hosni Mubarak, he became chairman of Brotherhood's FJP party
"There is no room now for the
language of confrontation," he said, after the election authorities
declared that he had won 51.73% in the 16-17 June presidential run-off.
Mr Mursi will now have to begin building a civilian administration and the focus will now turn to his choice of prime minister.The BBC's Jon Leyne in Cairo said there was some talk of him having discussions with Nobel peace-prize winner Mohamed ElBaradei, which would provide reassurance to non-Islamists.
Mr Mursi has also promised to appoint a range of vice presidents and a cabinet of "all the talents".
'Revolution goes on' On hearing the news of his victory, tens of thousands of Muslim Brotherhood supporters cheered in Cairo's Tahrir Square, chanting, "Down with military rule!".
Celebrations continued until the early hours of Monday morning, although some protesters remained in the square, saying they would not leave until parliament was reinstated.
Mr Mursi paid tribute to the protesters who died in last year's uprising against former President Hosni Mubarak but also praised the role of Egypt's powerful armed forces.
"The revolution goes on, carries on until all the objectives of the revolution are achieved and together we will complete this march," he said.
He also said he would honour international treaties.
Mohammed Mursi: ''The revolution goes on"
But the BBC's Jon Leyne says the question remains how much real power Mr Mursi will have when he swears the oath of office.
He will not have a sitting parliament or a permanent constitution to define his powers or duties.
And the Supreme Council of the Armed Forces (Scaf) which has led Egypt since last year's revolution has issued a series of recent decrees.
- The justice ministry gave soldiers the right to arrest civilians for trial in military courts until the ratification of a new constitution
- A decree was issued dissolving parliament after a court ruling that the law on elections to the lower house of parliament was invalid
- The Scaf granted themselves legislative powers and reinforced their role in the drafting of a permanent constitution.
- Field Marshal Tantawi announced the re-establishment of a National Defence Council, putting the generals in charge of Egypt's national security policy.
The Muslim Brotherhood is seeking a partial recall of parliament so that he is sworn in before MPs rather than the constitutional court.
Responding to Mr Mursi's election, the White House called the result "a milestone for Egypt's transition to democracy".
Congratulating the president-elect, EU foreign policy chief Catherine Ashton called for "an inclusive approach" in Egypt and pledged to work with Mr Mursi and the Egyptian people.
Israel responded to the result, saying that it "values the democratic process" and expected to "continue co-operation" with Egypt's government on the basis of the 1979 peace accord.
UK Foreign Secretary William Hague also congratulated Mr Mursi, saying the election marked "an historic moment for Egypt".
There was confusion over an alleged interview quoted by Iran's semi-official Fars news agency. Fars said Mr Mursi planned to expand relations with Iran to "create a balance of pressure in the region", but Mr Mursi's spokesman denied the interview had taken place.
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