Ruçi was born in Salari, a village in Tepelenë District, southern Albania. He graduated Chemistry, and worked as a teacher in Progonat. There, he met his future wife, who was from the Goxharaj family. They married in 1976. From 1985, Ruçi entered politics.
He was named Labour Party First Secretary of Tepelena district in 1988, and in 1990 he was named Minister of Interior; however, he kept that position for only two and a half months. From 1992 to 1996 he was Secretary General of SPA. From 1997 he was member of the parliament for SPA. In 2000, he was chosen as leader of the parliamentary group, until 2005. Since 2009, he has been head of the parliamentary group.
Ruçi's daughter Ridvana is a senior official at the Albanian ombudsman. She completed her studies in law at the Public University of Athens. His son Ledian, born in 1985, completed his bachelor's degree for International Studies in Athens.
Gramoz speaks Albanian, Greek and Italian. He has two granddaughters, Mia and Hera, from his daughter.
- Dosku, Elisabeta (23 November 2009). "Gramoz Ruçi Truri i protestes maratone te PS". Tirana Observer. Retrieved 24 August 2010.