[1] With the outbreak of the Great Patriotic War in 1941, he began to work as a lathe operator at the "Parkommuna" plant.

After the end of the war in 1945, the famous singer Sara Gadimova, the sister-in-law of him, introduced Hajibaba Huseynov to the prominent pedagogue, tar player Ahmad Bakikhanov.

In 1962–1992, Hajibaba Huseynov taught mugham at Azerbaijan State Music School named after Asaf Zeynally.

He gave concerts in Turkey (Adana) in 1990 and in Belgium (Brussels), France (Paris, Marseille, Lyon, Montpellier), Switzerland and the Netherlands for one month in 1991.

On 22 February 2019, President Ilham Aliyev signed an order to celebrate the 100th anniversary of Hajibaba Huseynov.