Palestinian police and gunmen from the Fatah party entered government buildings in Ramallah and Gaza.
Reports say police who support Fatah climbed onto the roof of the building in Ramallah and fired into the air.
Fatah were the ruling party in the Palestinian territories but they lost elections that were held there earlier this week.
The gunmen were demanding the leaders of their party resign, and protesting against handing power to Hamas.
Fatah lost the elections to militant group Hamas in the first parliamentary elections in Palestinian territories for ten years.