Five-year-old dies after Vic school fall

The death of a five-year-old boy critically injured after falling on stairs at his Victorian primary school is not suspicious, police say.

The incident happened on the external steps of Wodonga South Primary School about 4.30pm on Tuesday.

The boy was taken to Albury Base Hospital in NSW, but died shortly afterwards, reportedly of a head injury.

Detective Sergeant Graeme Simfendorfer said police were still investigating, but had deemed the death as not suspicious.

"The exact circumstances of what he was doing before and during the incident that led to his death are still under investigation," he told the Seven Network.

He said the boy was from a large family that had been left "extremely devastated".

Principal Clint Eckhardt described the incident as a "tragic accident".

"This news has had a profound impact ... and I know that our community will band together and support each other throughout this time," he said in a statement on Wednesday.

He said the school would offer support to anyone needing it over coming days.

Police will prepare a report for the coroner.