Hatip Dicle, a co-chair of the Pro-Kurdish Democratic Society Congress (DTK) told RIA Novosti that the protests were supposed to last for an initial three days, before either ending or continuing, depending on the situation.
The city center is currently empty with lots of tear gas puddles along the streets. Many activists plan to continue the rally after nightfall.
Tensions in Turkey escalated in July 2015, after two Turkish policemen were murdered by the Kurdistan Workers Party (PKK), which led to Ankara's military campaign against the group.
The Turkish General Staff earlier said about 850 Kurdish militants have been killed since mid-December. Kurdish activists, in their turn, argue that most of the dead were civilian victims. Mayor of Diyarbakir Firat Anli told RIA Novosti that 50,000 people of the normally 70,000 Sur residents had left their homes.
The Kurds, Turkey's largest ethnic minority, are striving to create their own independent state. The PKK was founded in the late 1970s to promote the self-determination for the Kurdish community.