The Prime Minister says the government will re-examine how police officers who fatally shoot someone in the line of duty are held accountable following the shooting of Chris Kaba.
The inquiry was originally launched by the previous government but will now be completed by Home Secretary Yvette Cooper.
Sir Keir Starmer said it was important that people had confidence in the police and police had confidence in the government.
A few days ago, police officer Martyn Blake was arrested Mr Kabbah cleared of murder.
“We have to choose [the probe] Sir Keir said: “We must stand up and complete the accountability review because it is so important that the public has confidence in the police, including of course armed police.”
“It’s also important that police know we have confidence in them to do a very difficult job, so we take on the task.”
He added that further details would be released later on Wednesday when Ms Cooper makes a statement in the House of Commons.
Under current law, each armed police officer is personally responsible for his or her actions. Police may not use more force than is necessary to neutralize the threat.
Superior officers cannot order police officers to pull the trigger, nor can they make a preemptive tactical decision to shoot a suspect under any circumstances.
Officer Blake was charged on Monday with the murder of Chris Kaba, who he shot in the head at a police car stop in south London two years ago.
It was revealed that Mr. Kaba Shot and killed a man in a nightclub days before his death.
Reacting to the verdict, Metropolitan Police Commissioner Sir Mark Rowley said no police officer was above the law, but said the force had made clear “the system for holding police officers to account is broken”.
He said: “I’m concerned about the lack of support for police in trying to do their best, but most importantly I’m concerned about the public.”
“The more we suppress the spirit of good police officers, the less able they are to fight crime – which could lead to London becoming less safe.”
Abimbola Johnson, a lawyer who served on a review committee set up by the National Police Chiefs Council this summer to boost confidence in ethnic minorities, warned against using the Kabbah case to push for legislative change.
She told BBC Radio 4’s Today programme: “Very rarely do we see police officers prosecuted by the criminal justice system for actions they take in the line of duty.”
She added: “This is not a typical case, so it doesn’t make sense to use that as a reason to push for legislative change because that’s not usually what happens throughout the process.”