A statement was issued after British and Irish government officials held crunch talks with the First and Deputy First Ministers on the Union flag crisis.
Leaflets appealing for the rioting to stop have been endorsed by 41 different organisations including paramilitaries, church leaders and community groups.
They said: "The people of east Belfast plead that those involved in the current rioting stop now. Those who come into the area to riot and cause disturbance are not welcome.
"The rioting does absolutely nothing to promote any cause but is damaging this community and causing further suffering."
Violence has erupted across parts of Northern Ireland since councillors in Belfast voted to limit the number of days the Union flag is flown over City Hall. The Ulster Volunteer Force has been accused of orchestrating much of the disorder during which more than 100 police officers have been hurt and 116 arrests made.
Northern Ireland Secretary Theresa Villiers said: "It needs to stop, it's damaging Northern Ireland's reputation and it is getting in the way of resolving the situation around identity."
DUP leader Mr Robinson said: "We are agreed the only way forward is by exclusively peaceful and democratic means. But it is important we have a political process that deals with the issues causing concern."
Deputy First Minister Mr McGuinness said: "We all understand the violence is very damaging to our society, to the community and to our economic prospects."
The leaflets acknowledge the right for peaceful, legal protest but those who signed it said they wanted pointless violence and wanton destruction to stop.
Westbourne Presbyterian Church minister Mervyn Gibson, Methodist Church leader on the Lower Newtownards Road Gary Mason and loyalist community worker Jim Wilson backed the peace statement.
Mr Mason said he hoped the collective message would be seen as a turning point.
Mr Gibson said: "I believe there were relations built over the years which hopefully will see us through over the coming months and years."
Contextual targeting label: