In addition to his remarkable performing career, Hubay was also a devoted teacher. In 1905, he was appointed as the director of the Budapest Academy of Music, a position he held until 1919. During his tenure, he nurtured a new generation of musicians, imparting his vast knowledge and expertise to students from around the world.

In addition to his performing career, Hubay was a dedicated music educator. He taught at the New York Institute of Musical Art (now known as the Juilliard School) and was a founder of the Institute's violin department. Many of his students went on to become prominent musicians in their own right.