While he was studying in Chile, in 1973, Zúñiga recorded his first 45 rpm single with "Producciones Caracol", including as one side the David Gates' song "Everything I Own". At 17, during his first year of law school, he composed his first song, "Ventanillas". In February, 1974, he performed in the XV Festival Internacional de la Canción de Viña del Mar. In October of that year, he obtained seventh place in the third edition of the OTI Festival, celebrated in Acapulco, Mexico, singing the song "Gaviota", which meant the first participation of Nicaragua in this Festival. The same year, he recorded his first album: "Del arco iris, una canción". In 1977 Zúñiga took part in XVIII Festival Internacional de la Canción de Viña del Mar, obtaining second place for Nicaragua with the song "Cancionero". In 1978 Zúñiga released Cancionero, professionally starting his musical career. The production was directed by Juan Carlos Calderón. Between December 1979 and January 1980, Zúñiga recorded a new work by the hand of the Spanish singer-songwriter Manuel Alejandro. The songs included "Procuro Olvidarte", "Ven con el alma desnuda", "Un pasajero", "Insoportablemente bella" or "Ese beso que me has dado". In 1982 Zúñiga recorded the albumA tanto fuego in London, Germany and Madrid. In 1986, he released "¿Cómo Te Va Mi Amor?". Manuel Mijares also turns into success the Hernaldo's composition "Siempre". Angela Carrasco, Jeannette, Sergio and Estíbaliz and Yuri between others, endorses success of his compositions. At this time Zúñiga took a sabbatical, and broke ties with the Zafirorecord label. Two years later, already residing in Mexico, he released the album Qué increíble es la distancia, which included the songs "Mira arriba", "Una vez al mes", "Tengo unos celos que matan". , Zúñiga Zúñiga produces, prepares arrangements and composed "Después de todos estos años". In London and with the help of Chucho Merchán, he records "No tengo más patria que tu corazón", "¿Adónde?", "Al otro lado del mundo" and "Eres todo menos azar". Zúñiga signed an exclusive contract with Universal Music Mexico. "Triángulo de musgo" is the title of the album that initiates his journey in his new record house. The production, arrangements and the songs were Hernaldo's responsibility; the album was recorded in London, Madrid and Los Angeles. His production "Nómada" was released in May 2007. Zúñiga has his own record label, Zungu Music.
Eterna Navidad , as part of "La Hermandad" in a Christmas special along with: Tatiana, Manuel Mijares, Daniela Romo, Arianna, Pandora, Denise De Kalafe, Óscar Athie y Yuri.
Diciembre 25 , Christmas special produced by Hernaldo Zúñiga, in this album are present: Alejandra Ávalos, Fher, Ilse, Benny, Ivonne and Ivette, El Tri, Alissa, Ángel, Café Tacuba, Laura Flores, Hernaldo Zúñiga, Denise de Kalafe, Luis Gatica and Los Joao. Hernaldo sings "Estrella Blanca" with Laura Flores and "Diciembre 25" along with: Ángel, Ilse, Benny, Laura Flores, Alejandra Ávalos, Luis Gatica, Ivonne and Ivette, Denise de Kalafe and Alissa.