He was a member of the House of Representatives for the Labour Party from 14 December 2016 until 15 February 2017, replacing Sjoera Dikkers.
Ünver has been a member of the municipal council of Amsterdam since 2006, and serves as party vice-councilchairman.In June 2016 Ünver spoke out against Turkey under Recep Tayyip Erdogan, questioning how Labour Party members could defend his policies.