The decision was made at an emergency meeting of the Christian Democratic Appeal political party, of which Bijleveld is a member, NOS added.
Earlier this week, the Dutch lower chamber passed a vote of no-confidence in Kaag because of the poorly organised evacuations. Kaag announced her resignation soon after the vote. A vote of no-confidence in Bijleveld was also passed, but the minister initially said she would not leave the post anyway.
According to media reports, the Dutch government for months ignored urgent requests of the embassy in Kabul to evacuate staffers and families.