JERUSALEM — Three Arab men were arrested on suspicion of stabbing two Israeli Jews in the Old City on Monday, an Israeli police spokesman said, extending a spate of violence that has roiled Jerusalem for a month.

Micky Rosenfeld, the police spokesman, said a Jewish man in his 40s had been seriously wounded and another slightly in an attack “by a number of Arabs” near the Old City’s Jaffa Gate. Mr. Rosenfeld said the “police are looking at this incident as a terrorist attack,” though a separate police statement said it might have been “a fight that broke out between the two sides.” It added, “all directions still being examined.”

Israeli and Palestinian news sites also reported Monday night that the police were investigating a separate attack in which a Palestinian youth was hospitalized with injuries sustained in an assault by three Israeli Jews.

The attacks occurred amid growing tension between Israel and Jordan over the Palestinian uprising and a related struggle over an Old City site holy to both Jews and Muslims that is under Jordanian custodianship.