Upset over brutalities against Kashmiri Pandits, Kher posted the image on Twitter on Tuesday.
Violence erupted in the Kashmir Valley after security forces killed Burhan Wani, the 22-year-old commander of Kashmir's largest rebel group, Hizbul Mujahideen, and two associates in a village on Friday.
The killing of Wani, who had emerged as the new face of Kashmir's militancy with his Facebook and other social media photos and videos, triggered a vicious cycle of protests by unruly mobs.
July 13 is a public holiday in the state in connection with the annual 'Youm-e-Suhada' (Martyrs' Day) to remember those who were killed in an uprising against the Dogra autocratic rule in 1931.
Separatist leaders, most of them under house arrest, have called for a march to the martyrs' graveyard in the old city. The chief minister too is scheduled to lay a wreath there.