“There’s no place for far-right extremism in the army,” Ms Hoegl wrote in the report. “We need investigations, sanctions and prevention – in a consistent, complete and fast way.”
“Soldiers are not under general suspicion and the absolute majority does a responsible job every day”, she said.
Ms Hoegl demanded that more staff be hired to speed up investigations.
The rise of far-right extremism within the rank and file of the army and police is a growing concern in Germany, mirroring a growing number of anti-Semitic, anti-migrant and homophobic attacks.
In September, 29 officers from the police force in the state of North Rhine-Westphalia were suspended over their participation in private chat groups in which images of Nazi leader Adolf Hitler and a prisoner in a gas chamber were shared.