Kellermann, 41, who was appointed to his latest position in September 2008, apparently committed suicide, CBS News reported.
Fairfax County Police said they dispatched a crime unit to Kellermann's home after his wife called to alert them of his death. The police department said they found no evidence of foul play.
CNN reported Kellermann's death was caused by hanging.
"The Freddie Mac family is truly saddened by the news this morning of David Kellermann's death." interim Chief Executive Officer John Koskinen said in a statement.
Koskinen called the loss "a terrible personal tragedy."
"David was a man of great talents. He dedicated those talents to Freddie Mac for more than 16 years," the statement said.
Kellermann's promotion to acting chief financial officer came as the government seized control of Freddie Mac, leading to the resignation of Anthony Piszel.
Kellermann previously served as vice president, corporate controller and principal accounting officer.
As the acting chief financial officer, Kellermann was in charge of the company's financial controls, financial reporting and capital oversight, his biography on Freddie Mac's Web site said.