"Pakistan-based Lashkar-e-Taiba and Jaish-e-Mohammad remain a constant threat to our national security," he said addressing the 49th annual conference of DGPs, IGPs of all States, Union Territories and Central Police Organisations heads here organised by the Intelligence Bureau.
Referring to the terrorist violence in Iraq and Syria, Ibrahim said the two countries have emerged as new theatres of 'Jihadi' violence.
"The return of the battle-hardened youths from these regions into India poses a fresh challenge," he said.
Commenting on the high voter turnout in the first phase of polling in Jammu and Kashmir, Ibrahim said it is an indication of the people rejecting the militant groups there,
"There has been a marked improvement in the situation in Jammu and Kashmir though there was marginal increase of incidents in 2014. The high voter turnout is an indication of the people rejecting the militant groups there," he said, adding that people of the state have "reposed their faith in democracy.