It said it would take legal measures against them but did not say what these would be. "We have not made concessions on justice so far, and we will never make any".
The dispute between the North Atlantic Treaty Organisation allies - brought to a new intensity by Turkey's holding of an American pastor for two years - has raised questions over the future of their partnership and fanned fears of a looming economic crisis in Turkey.
Turkey's stock market has also fallen 17 percent, while government borrowing costs have risen to 18 percent a year.
"We will overturn the scenarios that target our nation", he added.
"Washington must give up the misguided notion that our relationship can be asymmetrical and come to terms with the fact that Turkey has alternatives", wrote the Turkish strongman in the New York Times on Saturday.
Brunson, a United States citizen, and Turkish resident for over two decades, was arrested in Turkey on charges of terrorism and espionage.
It was unclear how President Erdogan meant to enforce the boycott.
Additionally, Turkey has a vast amount of debt denominated in USA dollars.
"Our institutions will take necessary action from Monday in order to relieve the markets", he said, adding that the plan would center on "the state of our banks and the small and medium size enterprises" most affected by the lira's plunge. The US has responded by slapping financial sanctions on two ministers and later doubled steel and aluminum tariffs on Turkey.
On Monday, US National Security Adviser John Bolton met Turkish ambassador Serdar Kilic at the White House to discuss relations. "This is called carrying out an operation against Turkey", he told reporters on Sunday, Aug. 12.
Tax rules would be implemented if necessary, he said, but the government had no plans to seize foreign currency deposits or convert deposits to the Turkish lira.
Except that the fall in the Turkish lira, which earlier on Monday fell by a further 11% against the USA dollar to take its fall this year to more than 40%, has focused the minds of investors on what other economies may have similar characteristics, such as high levels of corruption and an unwillingness to tackle it among the political elite, or a high current account deficit and excessive reliance on overseas investors.
The falling Lira would hit Turkish companies that have to repay foreign currency debt estimated at more than 200 billion us dollars.
"Germany would like to see an economically prosperous Turkey". Erdogan accuses Washington of protecting coup plotters.
Mr Brunson has been detained for almost two years, accused him of links to the outlawed Kurdistan Workers Party and the Gulenist movement, which Turkey blames for a failed coup in 2016.
Washington's hostility against Ankara has fueled speculations that it would further push Turkey towards Russian Federation.
Erdogan has in recent years built closer ties with countries in Latin America, Africa, and Asia.