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.
The opposition parties also called for the continuation of the demonstrations until the cancellation of the "unjust budget of 2018", including the raising of prices and taxes.
Sporadic protests continued across parts of Tunisia, overnight, as government security forces tried to put a stop to scattered violence that has hit a number of regions.
About 300 people demonstrated in the streets of the central Tunisian town of Sidi Bouzid, the center of the country's Arab Spring revolution.
Tunisia's economy is experiencing difficulties but 2018 will be the a year ago of hardship, Prime Minister Youssef Chahed promised on Tuesday. One protester apparently died of tear gas inhalation.
"Three hundred and thirty people involved in acts of sabotage and robbery were arrested last night", Interior Ministry spokesman Khelifa Chibani said.
The army has been deployed in Kebeli, Bizerte and the seaside resort city of Sousse among other towns to protect government buildings that have been targeted by protesters.
The budget, which took effect on January 1, hiked fuel prices and introduced new tax measures related to the purchase of housing.
"What happened had nothing to do with democracy and protests against price hikes".
The head of the local Jewish community said that attackers had exploited the breakdown in security to set the buildings on fire.
Tunisia's economy has struggled ever since.
Prime Minister Youssef Chahed decried Monday night's unrest, telling a radio station that "we didn't see protests, but instead people breaking things, stealing and attacking Tunisians".
Activists have also called for fresh demonstrations on Sunday, the seventh anniversary of the toppling of authoritarian president Zine El-Abidine Ben Ali.
Last year, the Washington-based International Monetary Fund agreed a four-year loan programme worth about $2.8bn with Tunisia, but tied to economic reforms.
The origin point of the Arab Spring, Tunisia is widely perceived as the only democratic success story from the 2011 wave of uprisings (Eurasia Group/Time).
Hammami, who attended the protests in the capital, Tunis, on Tuesday, told Al Jazeera that an estimated 400 people were in attendance.
The protests draw on anger over price and tax increases included in this year's budget that took effect on January 1.