Alavi said on Monday that the terror cells were affiliated with the hostile countries.
The minister added that one of the terror teams had 12 members, all of whom have been arrested.
In a separate operation, the intelligence forces detected an armed team of terrorists who had entered the country to carry out acts of terrorism and sabotage, Alavi stated.
He said that two members of the latter team were killed in an armed clash, two others were captured, and a number of AK-47 machine guns and grenades as well as some telecommunication equipment and cash were confiscated in the operation.
According to the minister, some of the perpetrators behind the August 14 assassination of commander of traffic police in the western city of Ravansar are among those arrested in the operation.