TasTAFE has postponed its firearms training course while an investigation continues into an incident where a student accidentally shot himself in the foot.

The man was participating in a firearms safety training course run by TasTAFE at the pistol club at Pontville in Tasmania's south on April 12 when the incident occurred.

It is understood he suffered a serious wound to his foot.

Police and paramedics were called to the club and the man was taken to hospital.

TasTAFE would not comment on exactly what happened or the nature of the student's injuries, citing privacy reasons.

In a statement, the organisation's chief executive officer Stephen Conway said student and staff safety was of the highest priority.

He said TasTAFE was reviewing the structure of its firearms safety training course, which was now on hold.

"TasTAFE will offer the theory component of the training in the first instance, the practical component will remain postponed until the appropriate investigations are completed," he said.

Labor's Scott Bacon said the incident was concerning and the accused the Government of a cover-up.

"We're concerned, particularly with the fact that the Government seems to have tried to cover this up and have only really released information about this very serious incident once there was inquiries from the media," he said.

Both Tasmania Police and WorkSafe Tasmania are investigating.