She did not mention McCain or Abedin in her statement.
"The intention of the letters was to outline the serious national security concerns I had and ask for answers to questions regarding the Muslim Brotherhood and other radical group’s access to top Obama administration officials," Bachmann.
Bachmann said the State Department and White House had been making "dangerous national security decisions" by letting known terrorists into the country.
"I will not be silent as this administration appeases our enemies instead of telling the truth about the threats our country faces."
In the letter, which the lawmakers sent on June 13, they write about information they claim "raises serious questions about Department of State policies and activities that appear to be a result of influence operations conducted by individuals and organizations associated with the Muslim Brotherhood."
They go on to point out that Abedin "has three family members — her late father, her mother, and her brother — connected to Muslim Brotherhood operatives and/or organizations," adding that Abedin's position "affords her routine access to the secretary and to policy-making."
— This story was updated at 2:44 p.m.
Read Bachmann's letter below: