"Three policemen are still in hospital and one of them is in serious condition, after he was run over by a demonstrator. Others who were injured in the clashes on Sunday have left the hospital," Jordan's public security department said in a statement on Monday.
Police on Sunday barred more than 500 people from marching on Israel's border to mark the 1948 creation of the Jewish state -- an event known in Arabic as the "nakba" or "catastrophe."
The demonstrators, including 200 students, were intercepted a few kilometres (miles) from the King Hussein crossing, or Allenby Bridge, on the Jordan River that defines the frontier with Israel, less than an hour's drive from Amman.
"Some demonstrators provoked police with their chants, while others tried to break the security cordon to cross the border, throwing stones and water bottles at police," the statement said.
"The police had to use tear gas and the suitable force to disperse them," it said, adding that 11 people were arrested for attempting to cross Allenby Bridge.
On Saturday, police prevented a group of students calling themselves "the May 15 Youths" from marching on the border with Israel.
Jordan, where nearly half the 6.3 million population is of Palestinian origin, signed a peace treaty with Israel in 1994.