Foreign Minister Julie Bishop says threats from North Korea are nothing new and only strengthen Australia's resolve to find a peaceful solution.
The Pyongyang regime has criticised Australia's "dangerous moves" in its support for the US in its political and military provocations and should it continue it will not be able to "avoid disaster".
"North Korea's threats only strengthen our resolve to find a peaceful solution to the rising tensions on the Korean Peninsula caused entirely by North Korea's illegal, threatening and provocative behaviour," she told reporters in Sydney on Sunday.
Ms Bishop said North Korea had made threats of this nature against Australia before and added: "Australia is not considered to be a primary target.
"North Korea is making threats against other nations in our regions and that's why we're part of this collective strategy to impose the maximum pressure in a peaceful way diplomatically and economically through sanctions to compel North Korea back to the negotiating table."
The Pyongyang regime issued its latest warning after Ms Bishop and Defence Minister Marise Payne met their South Korean counterparts in Seoul late last week.
During the visit, the ministers stressed the need for diplomatic pressure to thwart North Korea's nuclear ambitions and urged the country not to carry out any more weapons tests and halt its nuclear and missile program.
"Should Australia continue to follow the US in imposing military, economic and diplomatic pressure upon the DPRK despite our repeated warnings, they will not be able to avoid a disaster," state-run news agency KCNA warned in a statement on Saturday.
Defence Personnel Minister Dan Tehan told Sky News on Sunday that Australia is not frightened by Pyongyang's comments.
"We will not be cowed by the North Koreans," Mr Tehan said.
"We will continue to do everything we can to protect and help and support our allies."
He said North Korea should obey all the UN security council resolutions which have been passed condemning their missile activity and attempts to develop a nuclear weapon.
Labor frontbencher Ed Husic said North Korea not only represented a threat to the region but also global security.
"Clearly we're not going to respond favourably to the type of statements that have been expressed by the North Koreans," he told ABC television
"The time is for sober and calm talk, not talk that makes things harder to deal with."
A statement carried by KCNA on Saturday said: "Lately, Australia is showing dangerous moves of zealously joining the frenzied political and military provocations of the US against the DPRK.
"The Australian foreign minister personally expressed her support for the stand of the US to consider all options including the use of force towards the DPRK, and turned up at Panmunjom on October 11 together with the Australian defence minister to condemn the DPRK during her visit to South Korea."