Joachim was a child prodigy, and made his debut at the age of seven. He studied with Stanisław Serwaczyński, and later with Ferdinand David at the Leipzig Conservatory. He also studied composition with Moritz Hauptmann.
Joachim's career as a soloist took him all over Europe, and he performed with many of the leading orchestras of the time. He was also a chamber musician, and performed with many of the leading musicians of his day, including Clara Schumann, Johannes Brahms and Joseph Hellmesberger, Sr.
Joachim was also a dedicated teacher, and taught at the Vienna Conservatory from 1869 to 1907. He was also the founder of the Joachim Quartet, which was one of the most renowned string quartets of the time.
Joachim was a major influence on the development of violin playing, and his teachings have had a profound impact on violinists all over the world. He is considered to be one of the greatest violinists of all time, and his legacy continues to inspire and educate musicians to this day.