The CHP was formed by Turkey's founding father, Mustafa Kemal Ataturk, who championed headscarf bans in the 1920s.
The secularists' relatively cool reaction Thursday contrasted with outrage at an earlier incident involving headscarves in parliament.
In 1999, a newly elected member of parliament, Merve Kavakci, tried to take her oath while wearing a headscarf. The left-leaning prime minister at the time, Bulent Ecevit, told lawmakers to "put this woman in her place." Kavakci left the building while some of her colleagues chanted for her to "get out." Kavakci lost her seat in 2001.
AKP lawmakers cast the ban on headscarves as a civil rights issue that had prevented religious women from expressing themselves freely in Turkish politics.
"I have always said that we overlooked the problem of equality between men and women, but today I think we are finally solving this problem," said Oznur Calik, a member of the ruling party.
What women can wear has been a political battleground in both Muslim and non-Muslim countries.
Women are required to cover their hair in public in Iran, which is overwhelmingly Muslim, a rule many of them detest. France, meanwhile, in 2011 became the first European nation to ban the public use of face veils, infuriating many Muslims who felt their religious community was being singled out for discrimination.
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