"If Punjab government launches a crackdown on the banned Lashkar-e-Jhangvi, the scourge of terrorism could be eliminated," Malik told reporters Monday while visiting a hospital where victims of Sunday's twin blasts have been admitted.
A few days ago he said LeJ was involved in 80% terror activities in Pakistan.
About 50 people were killed and 140 injured when a blast hit Abbas Town, a residential area in the port city of Karachi, Sunday evening.
"Every time I utter the name of Lashkar-e-Jhangvi, it give(s) the Punjab government jitters," Geo News quoted Malik as saying.
Malik said the Punjab government crticises him instead of taking LeJ leader Malik Ishaq into custody, against whom as many as 34 FIRs have been lodged.
Stating that there was a similarity in the terror strikes of Quetta and Karachi, and in both the incidents chemicals were transported from Punjab, Malik asked why the Punjab government did not close down the offices of LeJ in the province.
He also claimed having cracked the backbone of proscribed Tehreek-e-Taliban Pakistan.