This fear is partly based on the Taliban's own lack of education, Yousafzai said. And, she said, world leaders should "change their strategic policies" to press for peace and ensure that children's and women's rights are protected.
"We call upon all governments to ensure free, compulsory education -- all around the world for every child."
Yousafzai presented Ban, the U.N. secretary-general, with a petition signed by nearly 4 million people in support of the 57 million girls and boys around the world who are denied education.
In October, six men were arrested in connection with the attack on Malala and the other schoolchildren who were on the bus as they headed home from school.
All of the men were released from jail because of a lack of evidence against them. The one named as the primary suspect, identified by police as Atta Ullah Khan, a 23-year-old man from the Swat district, remains on the run, authorities told CNN.
Khan was studying for a master's degree in chemistry.