Under Romanian legislation, President Klaus Iohannis would have the final say.
However, Iohannis on Friday complained that he was not consulted before the cabinet made that decision, adding that the decision was also not based on a solid assessment.
Dragnea announced the decision in an interview with the Romanian TV channel ANTENA 3, making Romania the fourth country to make the controversial move from Tel Aviv, alongside the US, Guatemala and Honduras.
In a statement, Iohannis urged the government to show "responsibility and discernment on major foreign policy decisions that have strategic effects including on national security".
A USA official said the embassy would be located at a provisional site in Jerusalem that now houses a us consular section.
According to the Israeli newspaper Haaretz, the Israeli Foreign Ministry is awaiting official updates from Bucharest.
France says proof likely disappearing from Douma, inspectors must have full access
But, MPs did not get to vote on whether they approved of the decision to attack Syria's chemical weapons facilities. The kingdom has supported Sunni rebel groups fighting Assad's forces, which are backed by Shiite-majority Iran.
The demand was delivered Thursday by PA Prime Minister Rami Hamdallah to Romania's envoy to Ramallah, Katalin Terlia during a meeting between the two men that took place on Israel's 70th Independence Day.
A week ago, on April 13, Dancila appointed Herman Berkovits, who has been Israeli Prime Minister Benjamin Netanyahu's physician for years, as pro bono adviser.
The Jerusalem Post writes that Romania will "soon move its embassy to Jerusalem", citing Liviu Dragnea, president of the Chamber of Deputies and a member of Romania's ruling party, who spoke on Thursday.
Palestinians want East Jerusalem to be the capital of their future state. "Looking forward to moving our Embassy to Jerusalem next month!"
The U.S. Embassy is due to relocate to Jerusalem from Tel Aviv on May 14, the date on which Israel declared its independence in 1948. Israel has annexed East Jerusalem and declared the entire city as its capital, a move not recognized by the global community.