Turkish President Recep Tayyip Erdoğan vowed on Monday to 'strangle it before it's even born'.
The SDF is dominated by the Kurdish YPG, and the plan for the force dashes Turkish hopes that the USA would abandon the YPG once the war against Islamic State came to an end.
The move is part of the United States-led effort against the Islamic State group often called IS.
The Kurdish People's Protection Units (YPG) militia controls key Syrian northern towns including Manbij and Afrin and is an ally of the U.S. but Ankara accuses the group of being a terror organisation.
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Half of the 30,000-strong BSF will be made up of Syrian Democratic Forces veterans fresh off their long fight against ISIS, while the other half are now being recruited and trained.
Ankara has sharply criticized the United States for cooperating with Syrian Kurdish groups that it regards as allies of Turkey's Kurdistan Workers' Party (PKK).
The US-led coalition of more than 70 members is conducting military operations against the Daesh terror group in Syria that are not authorized by the government of President Bashar Assad or the United Nations Security Council.
And at the weekend, the USA -led coalition fighting IS said it was working to create a 30,000-strong border security force in northern Syria that would deploy along the Turkish frontier. However, it said that the matter was an issue for the anti-IS coalition led by the U.S. Turkey is also angry at the support the U.S. continues to provide to the Syrian Kurdish forces that formed the backbone of the SDS, which led the military assault on Islamic State troops based in Raqqa.
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The area in question runs along the southern border of Turkey with Syria.
The Kurdish official in charge of defending the area, Bahjat Abdo, said the bombardment showed "the bankruptcy of Turkish policies in the face of resistance by the people of Afrin".
In 2016, Turkey supported an offensive by Syrian rebels - dubbed Operation Euphrates Shield - to drive Islamic State (IS) militants out of the key towns of Jarablus and al-Bab, and also to stop YPG fighters moving westwards towards Afrin and taking full control of the Turkish border.
Iranian President Hassan Rouhani later told the visiting Syrian parliament speaker that the us plan is a "plot" against Syria's territorial integrity and security, according to comments posted on the president's website. But, he said he had no plans to call the US leader.
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On Saturday, Turkish security forces hit several PKK/PYD targets in Afrin to prevent a "terror corridor" from forming along Turkey's borders. The planned border force may be seen as a bargaining chip, showing the U.S. also has a stake in Syria's future, including a tool with which to press Russian Federation to negotiate on Assad's future.