The Iran-backed militia has been manufacturing and smuggling Captagon pills and hashish from areas it controls in Lebanon and Syria.
A $10 million reward for information that would disrupt the party's financial system offers an incentive for members or collaborators.
A new Central Bank of Lebanon ruling that restricts electronic cash transfers to the Lebanese pound will help combat money laundering.
Many residents of areas controlled by the Iran-backed militia have not been receiving food aid, while others have only received partial rations.
The ISIS elements were sentenced to death for the 2016 murder of 14 military personnel and the attempted murder of 16 others.
The incident has sparked widespread outrage, with observers criticizing the militia's attempts to forcibly impose its ideology on the people.
The UN-backed tribunal into the bombing that killed Rafiq al-Hariri in 2005 is trying four Hizbullah suspects even though they are not present.
The Syrian war has exacerbated Lebanon's drug manufacturing and exporting problem, as fighters use pills to cope with the horrors of battle.
Yemen is seeking to enter into agreements with neighbouring countries to combat the smuggling of antiquities across its land and sea borders.
New sanctions that target individuals and entities linked to a top Hizbullah financier are part of a worldwide crackdown on money laundering.