Austrian Chancellor Sebastian Kurz said Monday he is seeking the removal of the country's interior minister over a video scandal that has rocked the Alpine nation in recent days.
Austrian news agency APA reported that the FPO's ministers quit in unison on Monday.
German media published the video on Friday, a week before a European Parliament election and a year-and-a-half after Austria once again became the only Western European country with far-right cabinet ministers.
Kurz said the vacant posts would be filled with experts or senior civil servants until the elections which President Van der Bellen has suggested be held in early September.
Twenty-four hours after the video was released Strache resigned.
Chancellor Kurz (VPO) said he was "shocked" by Strache's behaviour, describing it as "a wrong approach to politics" - a masterly understatement - which had damaged Austria's worldwide reputation.
Strache, whose party has been one of the most successful nationalist and anti-immigration movements in Europe, securing more than a quarter of the vote and taking the interior, foreign and defense ministries, denies doing anything illegal.
Elsewhere in the footage, Strache appears to hint at ways political donations could escape legal scrutiny.
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"It would be nearly naive for Kurz to assume that we, the FPO, have no distrust of him following his distrust in us", Kickl told tabloid Oesterreich before Van der Bellen spoke.
Norbert Hofer, who is infrastructure minister and took over the FPO leadership from Strache on Sunday, said Kickl had done "nothing wrong".
He said that his party continued to support Kickl and warned that if he is dismissed then the other FPO ministers would resign.
He said Kickl needed to go because he was general secretary and responsible for the finances of the FPO when the clandestine video of Strache was recorded.
"I am quite certain that it will succeed and that I will manage to ensure that Kurz will no longer be chancellor on Tuesday", Pilz, an environmentalist who founded his own small party to rival the Greens, told Reuters.
Kurz has said the recordings were the final straw in a string of FPOe-related scandals, which have dogged the coalition since its formation in late 2017.
The FPOe has a cooperation agreement with President Vladimir Putin's United Russia party.