Turnout was just 11.3 percent of Tunisia's 8 million voters, according to estimates from the national electoral commission — about the same level of participation as in the first round of voting last month.
Heavily indebted Tunisia has secured a $1.9 billion loan while Egypt is close to finalising a deal.
The referendum saw just 27.5 percent of 9.3 million registered voters cast ballots, with an overwhelming 92-93 percent supporting the new constitution.
Voting runs from 6:00 am (0500 GMT) to 10:00 pm at some 11,000 polling stations across the North African country, while there is no clarity yet on when the results will be announced.
The police intervened with protesters, who numbered around 100, as they attempted to reach the headquarters of the electoral commission which is under President Saied's control.
Tunisians demonstrate in the biggest rally against President Kais Saied in months after he seized power last summer and said he will replace the democratic constitution through a referendum.
Over 2,000 protesters gathered in central Tunis, following President Saied's decree establishing a new judicial watchdog that lets him dismiss judges or block their promotion.
Accusing the Tunisian President Kais Saied of staging a coup for suspending the parliament, the party says the arrest signals a slide towards tyranny.
United States calls for a transparent and inclusive reform process four months after Tunisia's President Kais Saied seized power in a move his critics called a coup.
Tunisians demonstrators have gathered near the country's parliament in the capital Tunis as security forces have been deployed in an attempt to prevent them from reaching the building.
Tunisian PM Najla Bouden, appointed by Kais Saied last month, announces a new cabinet that includes several interim ministers appointed by the president.
Najla Bouden Romdhane, a little-known professor of geophysics who implemented World Bank projects at the Education Ministry, has been tasked to form a government as quickly as possible.
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