"We do not want escalation, we do not want to go towards war", Major General Asif Ghafoor told a press conference in the garrison city of Rawalpindi, calling for talks with New Delhi.
An Indian warplane has crashed in disputed Kashmir one day after an air strike hit insurgents inside Pakistan.
The country's foreign ministry said in a statement on Wednesday morning that it had struck a "non-military target" across the ceasefire line in Kashmir without entering Indian airspace to demonstrate its "right, will and capability for self defence".
Also on Wednesday, Pakistan's foreign ministry said Pakistani jets had launched air strikes across the Line of Control (LoC) dividing Pakistani- and Indian-controlled Kashmir.
The latest wave of tensions between Pakistan and India first erupted after the militant group Jaish-e-Mohammad claimed responsibility for a February 14 suicide bombing that killed over 40 Indian troops travelling in a convoy of paramilitary forces in the Indian portion of Kashmir.
Global airlines that normally transit between Indian and Pakistani airspace have been forced to reroute, including flights by Singapore Airlines, Finnair, British Airways, Aeroflot, and Air India, according to online portal flightradar24.com which tracks the movement of planes globally. The Vistara airline said flights in the region were being suspended.
That'd make a third round of escalation, raising the possibility of an all-out spiral that'd quickly risk taking the two countries close to the low nuclear threshold that exists between them thanks to Pakistan's aggressive nuclear strategy and battlefield nuclear weapons.
Pakistan's military spokesman, Maj. It's response? An airstrike on what it claimed was a camp run by Jaish-e-Mohammed, the group that claimed the attack, on Pakistani soil.
Pakistani and Indian troops deployed in Kashmir often trade fire.
Tensions have been growing since a suicide auto bombing by Pakistan-based militants in Indian-controlled Kashmir killed at least 40 Indian paramilitary police on February 14.
India's Foreign Secretary Vijay Gokhale told reporters in New Delhi that Indian fighter jets targeted Jaish-e-Mohammad camps in a pre-emptive strike after intelligence indicated another attack was being planned. Moscow said it is willing to assist in strengthening New Delhi and Islamabad's counter-terrorism potential.
The decision to call the NCA meeting was taken on Tuesday in the meeting of National Security Committee - a civil-military top level body that discussed the situation after the Indian attack. "I also encouraged both ministers to prioritize direct communication and avoid further military activity", he said.