Bienvenido Rodríguez was born to Daniel Morel, a humble farmer and Maudelinda Rodríguez (Doña Maura) in a small town called Castillo Arriba, in the province of Santiago de los Caballeros, Dominican Republic. At the age of 16, he moved to another town just off Sabana Iglesia called Monte De La Zanja, and it is there where Bienvenido begins to sing publicly. At the age of 22, he was married and procreated two of his three children, Argenis and Melissa. At around that same time, he joined a musical group formed by Félix Rodríguez, and the group was under the name of El Cieguito Del Amargue con el Conjunto Félix.
In 1990 he recorded his first single known as "Amor Económico". The single was a success in Puerto Rico, and had very good acceptance in the Puerto Rican public. That is how it became known outside the Dominican Republic. From there on, he signed with Adriano Núñez owner of the now defunct Arco Iris Records. Bienvenido recorded his first CD "Bachata Sobá", and recorded his second single "Volver". With which he would travel for the first time to the United States and gave him international recognition. Later in 1994 he recorded his second CD with the name of "Volver", the single that had been recorded previously. With this album release, Bienvenido would receive awards such as Disco de Oro, and others, and at this moment is when the artistic career of Bienvenido Rodríguez (El Cieguito Del Amargue), takes off. In addition, under the same label of Arco Iris records, he recorded another CD that gave him international recognition "Si Piensas Que No Te Amo". The album was another big success and this is also where Bienvenido Rodríguez sets another historical milestone, as he would become the first Bachata artist to tour across all over Central America, and won his first award ACES in New York City as Album of the Year. With his third production "Me Está Doliendo Dejarte", he would record his first music video which had good acceptance with the public. His fourth and final production under Arco Iris Records would be "Entre Tú Y Yo". Bienvenido Rodríguez later signed with the J&N Records and Bienvenido would record his only album associated with them, "Déjame Ser Feliz". It was later known that the artist and record label had internal issues, which is why they parted ways. Bienvenido would sign with Sinepa Records and record his seventh production "Duele", but did not have the same commercial success as his previous productions. Bienvenido released his newest single "He Vuelto" in the month of June of 2023, penned by Wilson R Perez.