Simge Aköz started playing volleyball when she was 7 years old. Aköz played for İstanbul Artvin Sports Club, UPS, Yeşilyurt between 2010 and 2014, Çanakkale Belediyespor (2014-2015) and Halkbank (2015-2016). Aköz has been playing for the Eczacıbaşı Dynavit team since 2016-2017 season. 

Aköz joined the Club in the 2016-2017 season and started her Eczacıbaşı Dynavit career by winning the 2016 FIVB Women’s Club World Championship. She has won a bronze medal in the 2017 CEV Champions League and the 2018 CEV Cup. As a crucial member of the Turkish National Team, Simge has received a bronze medal in the 2017 European Championship, a silver medal in the 2018 FIVB Nations League. She had a big share in Turkey’s successful EuroVolley 2019 campaign where she won a silver medal and was selected to the Dream Team of the tournament as the Best Libero.

In the 2018-2019 season, Aköz won the Spor Toto Champions Cup, a bronze medal in the 2018 FIVB Women's Club World Championship and the Turkish Cup.

Playing her fourth season as a Tiger, Simge has become the co-captain of the team in 2019 and opened the 2019-2020 season by winning the Turkish Super Cup. Crowning her continuous rise in 2019, Simge has not only won the silver medal at the 2019 FIVB Club World Championship but also made it to Dream Team of the tournament by receiving the Best Libero award.

A core player of the Turkish National Team, Simge did a great job in the 2020 CEV Tokyo Olympic Qualification where she helped her team in winning a ticket to the Tokyo Olympics and was also selected the Best Libero. Through that performance she has also made her third Dream Team appearance in 2019-2020 season after the 2019 European Volleyball Championship and the 2019 FIVB Club World Championship.

Team captain of Eczacıbaşı VitrA since 2019-2020 season, Simge Aköz is in charge of this role alongside with Tijana Boskovic since the 2020-2021 season.

Simge Aköz started 2020-21 season with the 2020 Turkish Champions Cup victory, thus winning her third straight Champions Cup title.

In summer 2021, Simge Aköz has won the fifth place as the libero of the Turkish National Team at the Tokyo 2020 Olympics. In EuroVolley2021, Simge Aköz has won a bronze medal for the second time.

Aköz, In 2023 with Turkish National Team; she won the FIVB Nations League and CEV European Championship.