The opposition, which is demanding the resignation of the government and a snap election, has denied it is behind these attacks.
Masked assailants broke windows and threw a petrol bomb at the office of Kosovo's president on Saturday, but failed to set fire to the building, police said.
No one claimed responsibility for the 4 a.m. attack in the center of the capital Pristina, which the government condemned as "dangerous for the constitutional order and the country’s stability."
Kosovo is facing a political crisis, with the opposition denouncing an EU-brokered deal with Serbia to give more rights to local Serbs. The issue is highly emotive, eight years after Kosovo declared independence from Belgrade and less than two decades after a war that drew in NATO.
The office was empty at the time and no one was injured.
Police are investigating similar attacks in recent weeks in which private cars of government ministers were burned.