"President Trump has taken the decision to recognize Jerusalem as the capital of the Jewish people, to stand up for the truth and to do the right thing. Naming the square after the president is our way of showing love and respect for the president and the US people, who always stand by Israel," Barkat was quoted as saying in the statement.
The Jerusalem Municipality plans to hold an official opening ceremony of the renamed square with the participation of US officials in the coming months, the statement added.
According to the statement, the official name of the street will be renamed in honor of President Donald Trump.
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The statement comes after Israeli Construction Minister Yoav Gallant said last month that he was thinking of naming a quarter in Jerusalem assigned to foreign embassies after Donald Trump.
In early December, Trump announced his decision to recognize Jerusalem as Israel's capital and instructed the US State Department to launch the process of moving the US Embassy, which is currently located in Tel Aviv, to Jerusalem.
The step has prompted criticism from a number of states, first and foremost Palestine and those in the Middle East, and triggered a wave of protests in the region.