JERUSALEM — Dozens of Greek and Armenian priests and worshippers exchanged blows at one of Christianity’s holiest shrines on Orthodox Palm Sunday, and used palm fronds to pummel police who tried to break up the brawl.

The fight came amid growing rivalry regarding religious rights at the Church of the Holy Sepulcher, built over the site in Jerusalem where tradition says Jesus was buried and resurrected.

It erupted when Armenian clergy kicked out a Greek priest from their midst, pushed him to the ground, and kicked him, according to witnesses.

When police intervened, some worshippers hit them with the palm fronds they were holding for the religious holiday. The Eastern Orthodox churches, including the Armenians and Greek Orthodox, follow a different calendar from Western Christians and celebrate Easter next Sunday.

Two Armenian worshippers who attacked the Greek Orthodox clergy were briefly detained by Israeli police. Scores of Armenian supporters then protested outside the police station during the questioning of the two, beating drums and chanting.

The Holy Sepulcher is shared by several Christian denominations according to a centuries-old arrangement known as the “status quo.”