The suspects are currently under investigation.
The arrested members were involved in criminal activities, including armed robbery and theft in parts of Kabul city.
According to Mr Omar, the illicit drug processing lab was discovered on Thursday and smashed immediately.
Kabul police said the suicide bomber was short near a security checkpoint before he could reach his destination.
The Taliban-led caretaker government issued a decree in April last year banning poppy cultivation and its processing.
The Afghan counter-narcotics police destroyed a drug processing lab and arrested two persons on the charge of involvement in the drug business in Afghanistan’s northern Badakhshan province.
The Taliban administration said it was committed to ensuring law and order in the country.
