Hussain said the entire nation was united against the militants who attacked an army-run school on Tuesday in Peshawar.
"The nation is today united against the militants and it wants that they should not be given any concession because they do not deserve," he said after meeting the hospitalised students injured in the attack.
He said the Taliban had crossed all limits and are incorrigible but they will not escape the punishment.
He also said Pakistan and Afghanistan were cooperating with each other in the struggle to overcome militancy in the country.
At least 148 people were killed, most of them children, when Taliban militants stormed Army Public School on Warsak Road in Peshawar, firing indiscriminately on students from point blank range before blowing themselves up.