Three members of Hamas and Palestinian police officer were killed on June 4 as a result of the shooting in the northern West Bank, the website of Al-Arabiyya reported.
This is the second armed clash between Fatah and Hamas this week.
The shooting occurred in the Galgiya city between Palestinian police and armed members of Hamas, said official sources.
The house in which gunmen were hidden belonged to Hamas members. Abu Diab, Iyayad Abitli and Mohammde Attiyah, who have been sought by Israeli police, also were in the building.
On Sunday the clashes between supporters of President Mahmoud Abbas and Hamas claimed lives of six people.
Hamas blames Abbas supporters in what has happened.