Mohammad Zafar and his wife Zaheen killed their 15-year-old daughter by pouring acid on her because she was looking at a boy, the couple said in an interview with the BBC on Monday.
The parents recalled the October 29 incident from jail in Islamabad, Pakistan.
Mohammad said the girl had turned to look at a boy on a motorcycle, and he told her it was wrong, reports the Associated Press.
Zaheen told the BBC: "She said 'I didn't do it on purpose. I won't look again.' By then I had already thrown the acid. It was her destiny to die this way."
So-called "honor killings" are when Muslim women are murdered by their family for marrying or having relationships not approved by their families.
According to the Human Rights Commission of Pakistan, at least 943 women were killed in the name of honor in 2011. The real number is believed to be higher because many of the crimes go unreported.