In a statement, the Counter-Terrorism Department said that a huge cache of weapons to be used for terrorism in Punjab has also been recovered from the arrested.
The TTP, commonly known as the Pakistani Taliban, is a banned terrorist organisation based along the Afghan-Pakistan border.
Pakistan has been claiming that India was behind some of the terror attacks in the country recently.
Technical issues still remain for formation of new Afghanistan government, want to join CPEC project: Taliban
The latest statement comes amid the conflicting reports of Panjshir, the last Afghan province to fall under the control of the Taliban as National Resistance Forces (NRF) have rejected the claims.
The 28th report of the UN Analytical Support and Sanctions Monitoring Team says that terrorists from a variety of countries and militant groups continue to operate in Afghanistan.