Dizdar was born in Istanbul. During her childhood, her father went on missions as a submarine worker and she moved with him to different cities across Turkey and stayed in countries such as Pakistan, Belgium, and the UK. She usually studied at DoDDS American schools where she traveled. During her secondary school years, she studied musicals and dance in Belgium, and appeared on the stage by joining the children's conservatory for 2 years. After graduating from Marmara University Faculty of Communication, she moved to London, completed her acting education at the ARTSED acting academy with a scholarship and started her professional acting career. Ece Dizdar translated plays such as Shopping and F… ing and Festen for Dot Theatre. She later worked as a voice actress for professional commercials and promotional works. She then continued her stage career in Turkey and England, and soon appeared in television and cinematic productions.

Dizdar first became known through her role in the 2002 En Son Babalar Duyar TV series. She continued her career in TV with a role in the 2003 TV series Esir Şehrin Gözyaşları. After appearing in the TV series Hayalet in 2004, she took a break from acting. She returned to TV screens in 2011 after being cast in the series Karakol. In 2012, she played the role of Yeşim in the TV series Şubat. She then portrayed the character of Melda in the series Güneşi Beklerken and in 2015 appeared as Şevval in the series Beş Kardeş.