In a television show she told that her father's Kurdish name is Ello, and her Kurdish birth name is Malakan.In 1979 Avşar married Mehmet Tecirli, an engineering student; however, they divorced shortly after. Avşar married for a second time in 1997 to Kaya Çilingiroğlu which ended in divorce in 2005; they have one daughter named Zehra. She has also dated former 1987-88 European Golden Shoe football player Tanju Çolak and businessman Sadettin Saran between 2007-10.