Tamás Solymosi completed his studies at the Hungarian Dance Academy and the Vaganova Ballet Academy in Saint Petersburg, as well as in Monte Carlo. After graduating as a dancer, he also trained as a ballet teacher and choreographer in the early 2000s. As he was frequently sought to perform abroad, his appearances at the Hungarian National Ballet were primarily as a guest. He has also made guest appearances with the ballet companies of Miami and Chicago and the Osaka Ballet, and has appeared as a principal at the Wiener Staatsoper, the Dutch National Ballet, the Semperoper Dresden and the ballet company of the New York Metropolitan Opera. Audiences have also had the chance to see him at the Bolshoi in Moscow, the opera houses of Munich and Berlin, as well as in Santiago de Chile.

In 2006, he once again dedicated his full energy to working in Hungary when he took up the position of deputy director of the Hungarian Dance Academy. In 2011, he was named acting director of the Hungarian National Ballet, a position that was confirmed as permanent two years later, and filling this office now constitutes the main focus of his work. Since coming under his leadership in 2011, the Hungarian National Ballet has completely renewed its repertoire, greatly enriching it to include, alongside its traditional Hungarian ballet productions, nearly every great classical piece, numerous major neoclassical ballets and some of the more important modern works. The international auditions it holds have attracted more and more participants each year, with several hundred dancers registering from every corner of the world on each occasion. He regularly invites the finest international répétiteurs to share their expertise with the company by working with its artists.

In 2016, he established, within the Hungarian State Opera, the Hungarian National Ballet Institute, which by early 2018 was aiding in the development of more than one hundred students who also appear in various ballet productions (including The Nutcracker, Le Corsaire and Swan Lake).