Brunson was moved to house arrest last week following almost two years in jail on terror-related charges but the change only increased tensions.
White House spokeswoman Sarah Sanders told journalists both ministers had "played leading roles in the arrest and detention of Pastor Brunson", who led a Protestant church in the Aegean city of Izmir.
Turkey's President Tayyip Erdogan attends the BRICS summit meeting in Johannesburg, South Africa, July 27, 2018.
US Secretary of State Mike Pompeo and Turkish Foreign Minister Mevlut Cavusoglu agreed on Friday to try to resolve a series of disputes, after relations between the North Atlantic Treaty Organisation allies sank to their lowest point in decades.
On Wednesday, Washington moved to block the assets of Turkish Justice Minister Abdulhamit Gul and Interior Minister Suleyman Soylu in the USA and prohibit American citizens from "engaging in transactions with them".
Prince Harry and Meghan Markle's children's surname
Similarly, both Prince William and Prince Harry carried their father's surname of Wales, as Prince Charles is the Prince of Wales. Reports claim Meghan feels like she is bound not to say anything , but has been left frustrated by her dad's revelations.
President Recep Tayyip Erdogan said Ankara will freeze the assets in Turkey of USA "justice and interior" secretaries, state-run Anadolu reported.
"Even couples who are married for 40 years do not agree on every issue".
Washington this week imposed sanctions on two Turkish ministers over the case of Andrew Brunson, a USA pastor on trial in Turkey accused of backing terrorism. "Our relationship will never be cut", he said.
After reports that the U.S. would sanction individuals over the case, the lira hit a record low of 5.01 against the dollar, before rallying slightly to 4.9.
But Brunson's case has resonated with U.S. President Donald Trump and more particularly with Vice President Mike Pence. The penalties also bar any United States transactions with the two men. He is facing a 35-year sentence if convicted of the charges of "committing crimes on behalf of terror groups without being a member" and espionage.
After Ankara launched an offensive in January supporting Syrian rebels against the Kurdish People's Protection Units (YPG) militia in its western enclave of Afrin in Syria, the U.S. called for restraint.
Erdogan on Friday said in his Ankara speech that Turkey expected joint efforts regarding Manbij "to continue without being affected by other issues", in a possible indirect reference to the dispute with Washington.