The band's drummer died in Bogota, Colombia, on Friday, aged 50.
In a post on social media, the Foo Fighters said it was a time to "grieve" and "heal".
"It is with great sadness that Foo Fighters confirm the cancellation of all upcoming tour dates in light of the staggering loss of our brother Taylor Hawkins," the statement said.
"We're sorry for and share in the disappointment that we won't be seeing one another as planned.
"Instead, let's take this time to grieve, to heal, to pull our loved ones close, and to appreciate all the music and memories we've made together."
The band was due to begin the Australian leg of their tour in Perth on November 30, visiting Melbourne and Brisbane before a final show in Sydney on December 12.
Hawkins was on tour with the band when he died in his hotel room.
Colombian authorities said he had an assortment of drugs in his system when he died.
"The National Institute of Forensic Medicine continues to conduct the necessary medical studies to ascertain the cause of death," the attorney general's office statement added.
"The Attorney-General's Office will continue to investigate and will duly inform the findings of forensic examinations in due time."