Buhari said security agents have the mandate to hunt, pursue, and speak to terrorists in the language they understand.
He spoke at the Citizens Summit for National Integration, Peace and Security organized by the Nigerian Institute of Public Relations and Partners, held in Abuja.
Represented by the Minister of Information and Culture, Alhaji Lai Mohammed, Buhari said terrorists would be expunged from Nigeria.
He promised to successfully tackle terrorism and banditry across the country.
He said: “We have directed the military to crush those terrorising our citizens, peace and security are gradually being restored to the country.
“In the past couple of days, you must have heard about the number of terrorists neutralized by the military, and number of hostages freed.
“We must take the fight to the terrorists and demonstrate that there is no hiding place for them within the borders of our country.
“Each one of them will be hunted, and pursued and spoken to in the language that they understand.”