Tamam was killed in 1984 after being abducted and tortured by a terrorist cell consisting of four Arab-Israelis.
The initiative, prompted by Im Tirtzu and the Shomron Regional Council, restored a fading memorial erected for Tamam near the town of Mevo Dotan in the West Bank, close to the area where his body was found.
An event was held in honor of Tamam, which included his mother Galia and brother Oren, members of Im Tirtzu, IDF soldiers and residents from nearby towns.
"The Tamam family is deeply moved and thankful for the people who came to restore the memorial in Moshe's memory. They are the salt of the earth," Oren Tamam said at the memorial.
"We will continue to fight with all the legal means at our disposal in order to have the citizenship of the four Israeli-Arab terrorists who murdered Moshe to be revoked immediately," he added. "Every citizen who harms IDF soldiers or citizens of the country needs to know that his action will result in him being expelled from the country."