Fourteen people were killed in the Jan. 30, 1972, shooting incident that broke out during a civil rights march in Derry, Northern Ireland. At the time, Jackson was a captain who was second in command of the parachute regiment involved in the shootings.
"I have no doubt that innocent people were shot," Jackson said a BBC interview aired Tuesday night.
The now-retired officer said, however, he was not prepared to apologize for the deadly incident. The Telegraph said Jackson instead suggested such a measure would be better suited for the head of the British inquiry into Bloody Sunday, Lord Mark Saville.
"I think that's again, again you're begging a very big question and I'm not prepared to, I think, go down those sort of roads until I see what Lord Saville has to say," he said.
The Telegraph reported that it is thought to be the first time he has said publicly that innocent people were killed.