Aysel was born in the Azerbaijani capital Baku, the youngest of the three daughters of a journalist and university professor. She is a descendant of the nineteenth-century Azerbaijani publicist Hasan bey Zardabi. Her maternal grandmother was half-Russian, half-Ukrainian. Aysel started to sing at the age of four and the piano became her passion since childhood.
Aysel graduated from the Intellect Lyceum in Baku and attended Texas High School (Texarkana, Texas) in 2005–2006. Within days of her arrival in the United States, she signed up for the local choir and began training for young vocalists competitions. While in the U.S., Aysel won three gold medals at contests held in the Southern Arkansas University and in the University of Texas at Austin. In 2005, she participated in Season 4 of the national song contest Yeni Ulduz (“New Star”). As of January 2009, Teymurzadeh was majoring in International Relations at the Azerbaijan University of Languages.
In January 2009, Teymurzadeh was selected internally by İTV the Eurovision Song Contest 2009 in Moscow, Russia along with Iranian–Swedish singerArash with the song “Always“. Aysel became the first female singer to represent the country at the Eurovision Song Contest and only the second act ever to do so. On May 16, 2009, Aysel Teymurzadeh and Arash finished third with 207 points, among the 25 performers that qualified for the Eurovision grand final.
On May 28, Teymurzadeh announced going on a European tour with Arash, involving concerts in countries such as Sweden, Greece and Russia. Upon return she announced that together with Arash and his team she is working on an album, which will be released by Sony BMG and Warner Music. The date of release is unknown.
In 2012, Aysel Teymurzadeh was among five musicians from Azerbaijan chosen as the jury in the Danish national selection of the 2012 Eurovision contestant.
In May 2012, Teymurzadeh got engaged to Murad Adigozalov, 39, director of the Azerbaijan State Philharmonic Society and divorced father of two children. According to some sources, her plan after marriage is to leave the big stage and only perform on official events. In December 2012, Teymurzadeh gave birth to the couple’s first child.