Damilola Taylor's father said young people "have not learned the lesson of his death" after three murders on the streets of London in less than 24 hours.
Richard Taylor said at a conference on gun and knife crimes that "family neglect" problems underlie the resurgence of knife attacks.
An 18-year-old boy was stabbed in Wandsworth, South West London, on Friday night, minutes before the death of a 19-year-old boy in Plumstead after being shot.
On Saturday, a man in his thirties died of a stab wound in Poplar.
Damilola Taylor was only ten years old when he was stabbed at the North Peckham Estate in 2000.
He was found dying of blood in a stairwell near his home after being stabbed in the leg with a bottle of broken beer by a group of young people.
His father said: "The young people did not really learn the lessons of the death of Damiola, Stephen Lawrence and many other people, they took life as if it was something to play with.
"Over the past 15 years with the Damilola Taylor Trust, we have found that the problem underlying the steady increase in the number of knife crimes in the City of London is based on issues of family neglect. .
"The family problem has often contributed to young people being left behind at home as a result of a dysfunctional home.
"Secondly, part of the discussion that has been highlighted here is that the problem starts in schools because schools do not understand the context of these children."
Following the murder of his son, Mr. Taylor regularly spoke about the crime committed with a knife in the capital and was awarded an OBE for his services in preventing youth violence.
Asked what can be done by politicians to fight the crime of knife, Taylor congratulated former Prime Minister Gordon Brown, but criticized Boris Johnson for his actions as mayor of London.
Taylor told the conference: "Gordon Brown had good intentions to deal with the issues because it was under his mandate that we had a Prime Minister to deal with these issues.
"He was sincere about it and all that followed was not taken seriously by the politicians.
"Boris Johnson at City Hall, he did his best and what he did not understand, how to deal with the black community.
"He did not know the difference between Africa and the Caribbean, he did not understand what is called the postal code community, he asked:" What is the postal code? "- because he was not in the field.
"We need people who understand the problem on the ground because lawmakers do not have access to the grassroots.
"Until this idea of involving the base in the field program, until it is resolved and identified, there will always be problems."
According to the Metropolitan Police, 14 people were arrested because of the deaths of Wandsworth and Plumstead and another incident occurred Saturday morning at dawn, in which three people were stabbed in Clapham.
Mayor of London, Sadiq Khan, said he was "sickened" by the deaths of the two teenagers and called for support for the police to put an end to the violence.
Ministry of Justice figures revealed Thursday that the number of criminals arrested with knives or dangerous weapons had reached its highest level since 2010.