Investigators said an initial probe showed no trauma to the body except that Clark broke his nose when he fell forward.
Christopher Grey, a spokesman for the Army Criminal Investigation Command, said Monday that the investigation is still under way.
"But the important thing is that there was no bullet wound, no trauma," except that Clark's nose was possibly broken when he fell on his desk, Grey said in a telephone interview.
"We can positively say that Captain Clark was not shot," Grey later said in a statement.
An autopsy was done Friday but it could take several weeks to get results of toxicology and tissue testing done, Paul Stone, a spokesman for the Armed Forces Medical Examiner, said Monday.
Clark's family released a statement Sunday describing what his wife saw in the video feed recording her husband's death.
"The closet behind him had a bullet hole in it," the statement said, adding that others, including a member of the military who came to Orellana-Clark's Texas home, also believed it was a bullet hole.
The statement says the Skype link remained open for two hours after Clark collapsed as family and friends in the United States and Afghanistan tried to get Clark help. Although it was the night of Monday, April 30, at his El Paso, Texas, home, Clark's time of death is officially listed as May 1, the date in Afghanistan at the time.
"After two hours and many frantic phone calls by Mrs. Clark, two military personnel arrived in the room and appeared to check his pulse, but provided no details about his condition to his wife," the statement said.
Orellana-Clark said the reason for the family statement Sunday on the bullet hole was to provide details of what she saw "to honor my husband and dispel the inaccurate information and supposition promulgated by other parties."
Grey's statement Monday expressed condolences to Clark's family, friends, and fellow soldiers, saying "we know this is a very traumatic and difficult time for all involved."
Reached Monday after the Army issued its statement, Bradley Taber-Thomas, a brother-in-law who has been acting as a spokesman for Clark's family, said the family had not been officially informed by the Army that a bullet wound had not been found and had no immediate comment.