Soho Hill shooting victim Derek Junior Myers.
He was named as officers revealed they had arrested a second man in connection with the attack in which the 25-year-old died.
Mr Myers was shot in Soho Hill, Hockley, at 4.30am last Friday, October 30.
A second man injured in the same attack remained in a critical condition in hospital.
The arrested man, also 25, was detained at an address in Birmingham on Thursday after officers carried out a firearms warrant.
He was interviewed and later released on bail with strict conditions.
A 27-year-old was previously arrested in Walsall and bailed as part of the same investigation.
Det Chief Insp Caroline Marsh said: “We have a team of detectives working on this case to identify those who were involved.
“A man has lost his life and another remains critical in hospital and we would continue to appeal for anyone with information to come forward and contact us.
“If you were there or have been told anything about what happened, please get in touch.”
Police raced to Soho Hill following a 999 call from a member of the public who reported seeing a large group of men in the road and hearing the sound of a gun being fired.
Mr Myers was dropped off at a hospital A&E department with gunshot wounds but later died.
Residents living in the area told the Mail the shooting had left them too terrified to leave their homes.
One mum said: “I haven’t left my home since it happened – I’ve just been in here with my daughter.
“I don’t think I’ll ever go out at night again because it’s just not safe.
“I’m worried I’ll be constantly looking over my shoulder.
“Although I didn’t hear the shooting on Friday I heard all the commotion.
“I was terrified but it wasn’t until the next morning that I found out about the murder.
“As a mum I am really worried and the shooting took place right next to a school – it’s absolutely disgusting.”
Anyone with information should call Ms Marsh on 101 or Crimestoppers, in confidence, on 0800 555 111.