Israeli police say two Palestinian gunmen who carried out shootings in Jerusalem were shot and killed by police. One Palestinian man was shot and seriously wounded by the gunmen, police say.

Police spokesman Micky Rosenfeld says initially, passengers on a bus spotted the two gunmen and heard shots fired. A motorist responded by shooting toward the suspects, who fled by car.

Police began searching for the gunmen's vehicle. When it approached one that matched the description, shots were fired from the vehicle toward other cars. Police officers shot and killed the two gunmen outside Jerusalem's Old City.

The incident follows a rash of Palestinian assaults on Tuesday, including a stabbing spree that killed an American student near where Vice President Joe Biden was meeting with Israel's former president.