The Taliban had announced that it will stop fighting during Ramadan, which began Saturday and is traditionally considered a time of peace.
Malik said the police have prevented at least three possible attacks on government buildings by militants. The security forces arrested three suicide bombers who planned to attack the parliament and two other buildings, the report cited Malik as saying in a CNN interview.
He, however, did not disclose when the bombers were caught.
The Pakistani soldiers are waging a bloody battle against the Taliban in northwestern part of the country close to the Afghan border.