The draft must now be put to a nationwide referendum within 30 days. Morsi said Thursday it will be held "soon."
The Islamist-dominated assembly that has been working on the constitution for months raced to pass it, voting article by article on the draft's more than 230 articles for more than 16 hours.
The lack of inclusion was on display in the nationally televised gathering: Of the 85 members in attendance, there was not a single Christian and only four women, all Islamists. Many of the men wore beards, the hallmark of Muslim conservatives.
For weeks, liberal, secular and Christian members, already a minority on the 100-member panel, have been withdrawing to protest what they call the Islamists' hijacking of the process.
"This constitution represents the diversity of the Egyptian people. All Egyptians, male and female, will find themselves in this constitution," Essam el-Erian, a representative of the Muslim Brotherhood, declared to the assembly after the last articles were passed just after sunrise Friday.
"We will implement the work of this constitution to hold in high esteem God's law, which was only ink on paper before, and to protect freedoms that were not previously respected," he said.
The sudden rush to finish came as the latest twist in a week-long crisis pitting Brotherhood veteran Morsi and his Islamist supporters against a mostly secular and liberal opposition and the powerful judiciary. Voting had not been expected for another two months.
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