Anita Board was trying to qualify for a junior racing license in her purple dragster "Pony Power" on Saturday when she hit a cement barrier at the end of the run, local media reported.
She had just turned eight on Thursday, reaching the minimum age to get the license and race her 210cc dragster.
Police said she was taken to hospital in critical condition and died on Sunday.
"Tragically, the eight-year-old girl involved in a crash at the Kwinana Motorplex... has died as a result of the injuries she sustained," the police statement said.
Police said they were investigating the cause of the accident.
Her father, Ian, posted a message overnight on the page saying "my heart (is) in a million pieces".
"I think we need to look at the full range of safety measures that are in place," Roger Cook was quoted as saying by public broadcaster ABC.
Mike Sprlyan of Junior Dragster Australia told local media in Perth that junior races involved children from age eight to 17, with beginners like Anita reaching top speeds of up to 50 kph.
(This story has not been edited by NDTV staff and is auto-generated from a syndicated feed.)