Saied has ruled by decree since July, when he brushed aside the parliament and the democratic 2014 constitution in a step his foes called a coup, moving towards one-man rule and vowing to remake the political system.
His intervention last summer has thrust Tunisia into its biggest political crisis since the 2011 revolution that ousted former autocrat Zine al-Abidine Ben Ali and introduced democracy.
Voters will be asked to approve the new constitution in a July 25 referendum for which there is no minimum level of participation.
With most of the political establishment opposed to his moves and urging their supporters to boycott the vote, analysts say the measure is likely to pass, but with only limited public involvement, Reuters reported.
Many Tunisians are far more focused on a growing economic crisis and threats to public finances that has caused salary delays and threatens shortages of key subsidized goods.
The draft constitution published in the official gazette late on Thursday says Saied would continue to rule by decree until the creation of a new parliament through an election expected in December.
The new constitution would also allow him to present draft laws and have sole responsibility for proposing treaties and drafting state budgets, the gazette said.
It would create a new 'Council of Regions' as a second chamber of parliament.
Previously, political power was more directly exercised by the parliament, which took the lead role in appointing the government and approving legislation.
Under the new constitution the government would answer to the president, not to the parliament, though the chamber could withdraw confidence from the government with a two-thirds majority.
The president could serve two terms of five years each and has the right to dissolve parliament. A separate electoral law laying out how voting would work under the new political system will be published later, the draft constitution said.