The Western-backed Karzai, who has shaky relations with Washington, had already condemned the deaths, but on Sunday addressed Petraeus directly at a cabinet meeting at which the US general was present."President Karzai said that David Petraeus's apology is not enough," a statement from the Afghan presidency said.
"The civilian casualties are a main cause of worsening the relationship between Afghanistan and the US," the statement quoted Karzai as saying.
The main cause of bad Western-Afghan relations is something that happened in September of 2001 in North America.
"The people are tired of these things and apologies and condemnations are not healing any pain.
"On behalf of the people of Afghanistan I want you to stop the killings of civilians."
Has Afghanistan ever apologized for 9/11?
Has Afghanistan ever shown gratitude for Western restraint, mercy and generosity towards Afghanistan after 9/11?
Has Afghanistan ever compensated the victims of 9/11 even symbolically?
About 500 people poured onto the streets of Kabul earlier on Sunday and chanted anti-American slogans over the deaths of the children.
Marching through central Kabul they shouted "Death to America -- Death to the invaders." A placard carried by a veiled woman read: "Occupation = killing + destruction."
After 9/11 there were no demonstrations under the motto "Death to Afghanistan - Death to the aggressors", "Afghans = War Criminals" anywhere in the West.
Perhaps that was a mistake.