Harutyunyan was after his tenure as Prime Minister, he was elected as president of the Center for Constitutional Rights in Armenia. In November 1998, he was also a member of the Council of the International Association of Constitutional Law.
Harutyunyan graduated at the Faculty of Economics at Yerevan State University in 1970 with an award. Three years later he was a lecturer at his former university and the Institute of National Economics. From 1977 to 1978 he headed the research at the University of Belgrade (Yugoslavia). At the Central Committee of the Communist Party of the Republic of Armenia 1982-1987 he was a lecturer in economics before he was appointed head of the social-economic department of the Central Committee.
1990 Harutyunyan was elected as a deputy of the Supreme Council of the Republic of Armenia, the same year he was appointed Vice - Chairman of the Supreme Council. He was vice president of Armenia in 1991 and practiced from November 1991 to July 1992 the duties of the Prime Minister from. On February 6, 1996 Harutyunyan was nominated as President of the Constitutional Court of the Republic of Armenia. Since that year he was president of the Center for Constitutional Law of Armenia. The International Academy for Information elected him in December 1997 to its member. Since 1997 he was also the President of the Standing Conference of constitutional control bodies for the status of the new democracy and the president of the editorial board of the international journal " constitutional jurisdiction ". Harutyunyan was also a member of the European Commission ( Venice Commission) " Democracy through Law " of Europe since 1997. According to the decree of the President of the Republic of Armenia on 23 April 1998 Gagik Harutyunayan the Supreme Judicial qualification was awarded as a judge. Since November 1998, he was a member of the International Association of Constitutional Law.