David Cameron has appealed for a calm response to the inquest verdict that Mark Duggan was lawfully killed by a police marksman despite being unarmed.
The Prime Minister said he hoped people would respect the "proper judicial process" and welcomed the stance taken by Mr Duggan's aunt Carole, who said she wanted "no more violence".
The comments came as the Metropolitan Police set out to rebuild trust with London's black communities in the wake of the controversial killing, which sparked devastating riots two years ago.
Commissioner Sir Bernard Hogan-Howe was meeting political representatives from the capital and prominent figures from Tottenham today to discuss how the police can improve relationships. He said he is "open to ideas and advice".
Challenged about anger within the black community, Mr Cameron acknowledged there was still racial prejudice in the UK but efforts were being made to "break down the barriers".
Speaking to BBC London, Mr Cameron said: "We have to respect judicial processes in this country, we have to respect the outcome of trials and the work that juries do.
"I very much respect Mark Duggan's aunt for saying they want to pursue their case through the courts rather than on the streets, I think that's absolutely right.
"I have huge respect for Bernard Hogan-Howe, who I know is ready to meet with the family if they would like and recognises how much more important work we still have to do to make sure the police have the confidence of every community in London."
He added: "These issues raise very strong emotions but I hope people can react calmly and recognise that we have proper judicial processes in this country and they are the ones that must be followed and respected."
Mr Cameron said he understood the strength of feeling within the black community but stressed society was changing.
"I do understand it because we have been on a journey in our country from a time when there was very bad levels of racial prejudice, very bad levels of discrimination, not proper avenues of opportunity.
"We are on a journey, we haven't cracked all these problems. There is still racial prejudice, there is still discrimination.
"But I think what you can see is governments of all colours, whether Labour or Conservative, have been trying to break down these barriers and trying to end discrimination and try and make sure that people are valued for the passion in their heart and the thoughts in their head rather than the colour of their skin or their sexuality."
Mr Cameron added: "We have made huge progress over the years but there is always more to do."