After an unsuccessful attempt at CPR, the man called his wife, who was teaching at the school where they lived on-site. She came home, and rushed the baby to a local doctor, who immediately called for a helicopter.
The child suffered a brain bleed, but has no apparent long-term effects.
The man was charged by police, with the court finding him guilty and sentencing him to two months home detention and a range of counselling and anger management courses.
On applying for a teacher's registration certificate last year, the man disclosed the conviction to the Education Council and was referred to the tribunal.
In its decision the tribunal said it was as sure as it could be the man was not a danger to the public, and that the behavior would not be repeated.
"Plainly this is a tragic case," it said. "A teacher with an unblemished record in a moment of madness shook his young son resulting in a nightmarish outcome for all concerned. It is a matter of extreme good fortune that his son appears to have emerged out of this unharmed."
The tribunal said as the matter was unconnected to the man's teaching career the profession would not be diminished.
However, as the incident was serious misconduct it required a censure. The tribunal ordered an annotation to be added to the man's record and has required that he report the matter to any prospective employer for a duration of three years.
He was granted name suppression with regard to the privacy of his wife and children.