Police were called to Ripon Avenue, Fartown, at about 9pm on Saturday to reports that a man had been injured in a shooting.
A 26-year-old man was taken to hospital but died a short time later from his injuries.
A man has been arrested on suspicion of murder, a spokesperson for West Yorkshire Police has confirmed.
He remains in custody.
Officers have closed a number of roads in the area as they carry out an investigation into the murder.
Neighbourhood policing patrols have been stepped up in the area.
Anyone with any information or who witnesses anything suspicious last night in the Fartown area is asked to contact the Homicide and Major Enquiry Team via 101 or use the contact us options at www.westyorkshire.police.uk/contactus quoting crime reference 13200634445.
Information can also be given anonymously via Crimestoppers on 0800 555 111.