She was the recipient of numerous prizes, among the most important are the Orchestral Composition First Prize by the Municipalidad of Buenos Aires City (1964); ‘Francisco Solano’ Prize for her promotion of the Argentine music (1968), the Outstanding Young Yearly Award by the Junior Chamber of Buenos Aires (1970); National Funds for the Arts for her work Atmósferas and Concert for Violin and Orchestra (1970); the First National Prize of Music for her work Voces (1982); the International Prize Gomidas by the Composers Association of Armenia (1983); the Academic Palms by the Government of France; the Saint Sahak and Saint Mesrop decorations and the Papal Bull by Pope Vazkén Ist of the Armenian Church (1992); the ‘Alberto Castilla’ Medal of Colombia (1994); the Miró-Picasso Medal given by the General Director of the Unesco (1995).
Due to her deep knowledge about Armenian religious music she was accepted as a member of the International Society of Musicology; she attended the annual meetings in Ljubljana (1967) where she was appointed to integrate the Consultive Committee and, later on, Secretary of the Board of Council of the International Musicology Society.
In 1985 Terzian was appointed President of the Argentine Music Council (IMC/CIM) having developed until 2005 an intense national and international activity through Seminars and Congresses with the attendance of the most prestigious musicians, educators, musicologists, instrumentalists, composers, orchestra conductors, soloists and chamber groups thus placing her country in the world.
In 1990 she was elected by unanimity as the Vice President of the International Music Council, Unesco as well as the Secretary and later on, the President of the Three Americas Music Council COMTA (CIM-UNESCO-Paris), this latest appointment was held until 2004.
In 1979-2006 she was the Delegate before the International Rostrum of Composers (UNESCO-CIM-Paris); Director of the National Fund for the Arts in 1985-1989; Artistic Director of CABLEVISION and the broadcastof the programme ‘Musical Encounters with Alicia Terzian’ having presented the most important Argentine and foreign artists in concerts; ex Vice President of the Women Internacional Council of UNESCO and currently Honorary Member; Vice Secretary of the Union of Composers of Argentina; Permanent General Secretary of the Argentine Association of Musicology; founder of the Argentine Branch of the International Federation of Musical Youths; founder of the Latin American Council of Music; member of National and Municipal juries of Composition and Musicology Contests; Jury in Argentina for the selection of Works to present in the World Music Days Festival organized by the ISCM (International Society for Contemporary Music) from 1979 until now; Jury of many Contests organized by the Superior National Conservatory of Paris since 1983, International Jury in the Festival of Ibagué, Colombia; International Jury of Composition National Contest in Colombia (1998); Jury of the 2nd Ibero American Prize of Music in Oporto, Portugal (1998); Jury of Sacred Music Contest of Friburg (1995), Jury of Composition in Taiwan (2002), Jury of the International Contest in Orleans (2002,2204, 2006 and 2014).
In 2003 she was appointed by unanimity as HONORARY MEMBER of the International Music Council (IMC(CIM) during their General Assembly .
Alicia Terzian in Member of the Fine Arts Academy (Chile; the Music Academy of Valencia(Spain) and Ambassador of Peace(United Nations/Milmilennium of Peace)