Sulliman was born and raised in Nazareth. As a child, he started acting at a community theatre. In 1997, he moved to Tel Aviv to study acting at the 'Yoram Levinstein Studio' where he graduated in 2000. Sulliman is probably best known for his role in Fauda as Taufiq Hammed nicknamed "The Panther", a former official member of the Palestinian terror group Hamas. Sulliman also took part of numerous plays in the Al-Midan and the El-Hakawati theaters.
Sulliman is married to Rahik Haj Yahi, an Arab-Israeli Actress from Tayibe, they met in 2002 during a production of a play. They have 3 children and they live in Nazareth Illit.
