Mrs Badenoch said the family felt trust in the police had been broken. She said they wanted political parties and religions to work together to rebuild trust in the police.
Posting online, Mrs Badenoch said: “Their courage is extraordinary. They have endured the most appalling loss, it is a life sentence for them.
“They have also faced the agonising decision to release the harrowing body-worn camera footage, knowing how painful it would be and how strongly people would react. They did so because they want truth, accountability and change.
“They have asked that we work across political parties and religions to rebuild trust in the police. That trust has been broken because of what happened, and I agree with them on that.”
Mrs Badenoch added: “Henry’s family do not want anger to tear communities apart. They are a family who have friends across faith and race, and so did Henry. His family want his memory to help bring our society together.
“I promised the family that we will work to ensure there is a positive legacy for Henry out of this tragedy. That is my focus now.”
The family met Sir Keir seven hours later, after which he said: “It is our duty now to ensure that lessons are learned, that justice is delivered and that we choose unity and progress over division and hatred. This is the only way to honour Henry’s memory.”
Second investigation into police force
HM Inspectorate of Constabulary has “agreed in principle” to conduct an “urgent” inspection of the “culture and performance” of Hampshire police after a request from Donna Jones, the county’s police and crime commissioner.
It is the second investigation into the force and goes beyond the inquiry by the Independent Office for Police Misconduct which is examining whether the officers breached rules.
Stephen Parkinson, the director of public prosecutions, said there was no evidence people from a white British background were treated less favourably than ethnic minorities.
He said that evidence showed there was “a greater likelihood of being prosecuted coming from an ethnic minority group other than white British.”
He added: “I think recent publicity has been along the lines of people with ethnic minorities are favoured – the evidence that I’m aware of goes the other way.”
The NPCC race action plan that told officers not to be “colour blind” was written after police sought the views of organisations with highly controversial views on white people, Jews and policing methods.