He was Mayor of Baku between 2001 and 2018 and deputy prime minister of Azerbaijan from 2018 to October 2019.

In 1969, he was enrolled in post graduate program at Ioffe Physical-Technical Institute of the Russian Academy of Sciences in Saint Petersburg, Russia.

[1] Abutalybov served as the head of the laboratory at Physics Department of Azerbaijan National Academy of Sciences in 1995.

Same year, he was appointed the Head of the Executive Power of Surakhani district of Baku which he held until 1999.

Abutalybov served as Mayor of Baku for 17 years, between 30 January 2001 and 2018.