They have now promised that girls will be able to study - but only in segregated classrooms.
Nazife, a teacher at a private school in Kabul which had mixed classrooms before the Taliban takeover, said they had made changes in order to reopen.
"Girls study in the morning and boys in the afternoon," she said. "Male teachers teach boys and female teachers teach girls."
However, there was uncertainty for many other girls at the school, which teaches at both primary and secondary level.
On Friday the education ministry said boys' high schools would soon reopen, but made no mention of girls.
Hadis Rezaei, who teaches the school's female high school-level pupils, said her students' mental health was suffering.
"Their spirits are down and they are waiting for government announcements so they can resume studying," she said.
Pakistani activist Malala Yousafzai said the Taliban's failure to mention when girls can return to high schools was "shameful" and was "testing our resolve".
"This is shameful and not at all new. In the past, the Taliban imposed a 'temporary' ban on girls’ education that lasted five years. They are testing our resolve. We demand that leaders stand up for Afghan girls’ right to go to school," she tweeted.
Taliban spokesman Zabihullah Mujahid told the local Bakhtar News Agency on Saturday that arrangements were being made to reopen girls' secondary schools but he gave no date.
"The education of girls is fixing a generation. The education of boys may affect a family but the education of girls affects society," said the school's principal, Mohammadreza.
"We are very closely following the matter so that girls can resume their education and complete their studies."
With SBS News