The new regulations, approved by parliament in October, would limit the death penalty to drug kingpins, armed dealers and those convicted of smuggling more than 50 kg of opium or 2 kg of heroin.
Previous law prescribed the death penalty for smuggling 20 kg of opium or 30 gm of heroin.
The pro-reform Shargh newspaper and other dailies reported today that Ayatollah Sadegh Amoli Larijani, the head of the judiciary, has ordered officials to "quickly" review cases and implement the new regulations.