"I want to express my total dismay at the story concerning our Marines, who I have the highest respect and admiration for, but I share completely the views expressed by Secretary Panetta earlier today," said Clinton at a press conference Thursday.
The minute-long video surfaced Wednesday and drew harsh rebuke from Washington and Kabul.
"I join him in condemning the deplorable behavior that is reflected in this video. It is absolutely inconsistent with American values, with the standards of behavior that we expect from out military personal," she added.
Panetta ordered the Marine Corps and the top American commander in Afghanistan, Gen. John Allen, to investigate the incident.
Clinton said that anyone found to have been involved in the acts shown in the video or to have known about it should be "held fully accountable."
For more on Panetta's response to the video, click here.