They say they arrested 21-year-old Antonio Turner and 20-year-old Joseph Denning Tuesday and put them in the Pulaski County Jail.
Kentucky State Police issued warrants for the men after an incident that happened the morning of February 7th.
That's when troopers say three men assaulted a woman who was walking from her home to her car on Richard Stephens Road in McCreary County .
Investigators say when neighbors went to check on the woman, the men identified themselves as FBI agents and left when the neighbors refused to leave the woman alone with them.
February 8th, KSP arrested 30-year-old Timothy Prater in connection to the attack and charged him with impersonating a police officer, robbery, unlawful imprisonment and criminal conspiracy to commit murder.