In 1988, with the beginning of the Nagorno-Karabakh conflict, Eyvazov joined a partisan detachment created in Lachin District. In March 1992, Eyvazov was accepted to Lachin District Police Department. During the First Nagorno-Karabakh War, as an ordinary police officer, he took part in the battles for Qazıdərə, Suarası, and Mazutlu, all situated in his native Lachin District. His squad also managed to capture an Armenian tank during the clashes in Mount Qızartı. On 4 August 1992, the Armenian forces attempted to take the mount, and Eyvazov was wounded in his arm. Having recovered, Eyvazov returned to the front again and fought Fuzuli District. During Operation Horadiz in early 1994, he was appointed company commander. On 10 February 1994, Eyvazov killed several dozen Armenian servicemen during the battle for Cocuq Mərcanlı, but he was killed during the battle.
