The militants were killed in a exchange of fire with police in the Hazarganj area of Quetta yesterday.
Senior police officials said that the four are believed to be from the LEJ which is suspected of carrying out the terrorist attack on the police training centre in Quetta on Monday night in which 61 people, including police cadets, and two armymen, were killed.
"There was a heavy exchange of fire in which four militants were killed and three policeofficialsinjured," Cheema said.
He, however, declined to comment on whether the killed terrorists belonged to the LEJ and said investigations were going on toverifytheir identities.
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Confusion still surrounds as to who is actually responsible for carrying out the terrorist strike on the police training centre.
Security officials believe it is the LEJ Al-Alami group which sent the terrorists from Afghanistan to carry out the strike.
Security officials while ruling out the involvement of TTP are looking into the IS claim and believe it could have been a joint operation by theLEJAl-Alami and the ISIS.
Pakistan has been battling a homegrown Islamist insurgency since shortly after the US-led invasion of Afghanistan in 2001.