At least eight security officers were injured in the coastal town of Nabeul during clashes with young protesters late on Tuesday, according to Tunisia's press agency TAP.
A brief period of calm returned on Wednesday before demonstrators again took to the streets of Tebourba, a town west of the capital Tunis, where the death of the protester occurred, in the evening.
"Some 330 people involved in acts of sabotage and robbery was arrested last night", said the interior ministry spokesman, Khelifa Chibani, bringing the number of detainees since the protests began about 600.
Djerba is home to Africa's oldest synagogue, which was hit by al Qaeda-linked militants in 2002 in a truck bomb attack that killed 21 people including Western tourists.
Interior Ministry spokesperson Khalifa Chibani said Thursday that the 328 arrested overnight are accused of destroying property, looting and theft.
"Unknown people took the opportunity of the protests and threw Molotov cocktails into the lobby of (the). school", the head of the local Jewish community, Perez Trabelsi, told Reuters.
But Prime Minister Chahed says this will be the last bad year for Tunisians.
Tunisia's army has deployed 2,100 troops in different parts of the country, with the stated aim of protecting "sovereign institutions and vital facilities", defence ministry spokesman Belhassen al-Waslati said on Thursday.
Tunisia has seen several days of demonstrations after activists and politicians denounced hikes in value-added tax and social contributions introduced at the start of the year as a tough new budget was implemented.
This policy, along with the cooperation of the Islamic Ennahdha [Renaissance] Party, a partner in the coalition, has made Tunisia the only success story of the "Arab Spring", and it appears that despite the difficulties it will continue to show stability despite the internal protest.
Protests have broken out across Tunisia after anti-austerity measures came into effect on January 1.
He spoke to residents of the town, who stood in a crowd around him as his security forces surrounded him.
People had taken to the streets to protest against the government's austerity measures.
Tunisia hiked prices for fuel and some consumer goods, while taxes on items such as cars, phone calls, internet and hotel accommodation have also increased.
However, Tunisia has repeatedly insisted it is safe and a year ago the UK Government removed the advice for the coastal regions of the nation, including capital Tunis.