Klosé is noted for his design improvements to the clarinet using the principles laid down by Theobald Boehm in his innovative work on the flute keywork. From 1839 to 1843, he enlisted the help of Louis-August Buffet of Buffet-Crampon fame, an instrument-making technician, to construct — what is known today as — the Boehm system clarinet.
- K.I. Boutruy, who received First Prize in 1852.
- A. Grisez, who received First Prize in 1857.
- Augusta Holmès
- Adolphe Marthe Leroy, who succeeded Klosé in his Paris professorship in 1868
- Louis A. Mayeur, to whom he also taught the saxophone in the early 1850s
- I.G. Paulus, who received the "Légion d'Honneur" in the same year as Klosé
- Cyrille Rose, who received First Prize in 1847.
- Frédéric Selmer, who was so accomplished that a special "Prize of Honour" was created for him in his final year, 1852.
- Charles Paul Turban, who received Second Prize in 1864 and First Prize in 1865.
2. Paul, Jean-Marie - Hyacinthe Klosé (1808-1880): His Works for Clarinet -The Clarinet,2006, vol. 33/3, pp66–71