There can be no justification whatsoever for any act of terrorism.
-AFP A BDS official checks a bag belonging to an attacker outside the Chinese consulate.
India and the US also accuse Pakistan of supporting the Afghan Taliban.
The BLA is one of a number of separatist groups fighting for self-determination for Pakistan's western Balochistan province.
Paramilitary forces and police during an attack on the Chinese embassy.
Pakistan has long accused New Delhi of supporting Baluch separatists.
Beijing "strongly condemned" the attack and asked Pakistan to take measures to ensure the safety of Chinese citizens in the country.
He declined to comment on the identity or motive of the attackers. In all, seven people, including two police officers and two civilians, died in the attack.
Two of the deceased were recognized as police personnel but the others have not been identified yet, said the hospital director. But he said that would not sway China's government and Chinese firms from expanding their footprint overseas, even while they take additional precautions. He said most of the victims were minority Shi'ite Muslims.
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Earlier, a pro-India militant organization BLA claimed responsibility for the attack.
An exchange of fire resulted in the "killing two of our constables and critically wounding another", he said, adding that at least one attacker had been wearing a suicide vest which did not detonate.
Khan issued a statement, saying he has ordered a probe into Friday's attack.
It added that the attack was part of a conspiracy aimed at undermining economic and strategic cooperation between the two nations. "Such incidents will never be able to undermine the Pakistan-China relationship".
Pakistani security personnel move in the compound of Chinese Consulate in Karachi, Pakistan, on November 23, 2018. A state of emergency has been declared in all the hospitals in the city.
Meanwhile, at least nine people were killed and 27 wounded when a blast ripped through a marketplace in Pakistan's restive northwestern tribal region on Friday, officials said.
It warned China to leave or "be prepared for continued attacks". So this is different from other militant attacks that do occur in Pakistan.
A heavy contingent of police and security forces was deployed in the area. The consulate's diplomats and staff were unhurt and were evacuated to a safe place, senior police official Ameer Ahmad Sheikh said.
Baloch separatist Baloch Liberation Army, a militant organization based in Pakistan and Afghanistan, claimed responsibility for attack, according to Al Jazeera English Web Correspondent Asad Hashim.
Pictures posted to social media purportedly of the attack showed smoke rising from the area.