Armed police were called to Back Thornville Row, Hyde Park, at about 2.20am today (Wednesday).
A member of the public had reported a possible firearms discharge, a spokeswoman for West Yorkshire Police said.
Now early investigations have revealed that blank ammunition - cartridges that do not contain projectiles - could have been used.
A police cordon is in place at the scene while forensic tests are carried out.
The spokeswoman added: "Forensic examination remains ongoing today and a cordon remains in place but early investigation indicate that blank firing ammunition was used with no evidence of an actual firearms discharge. "
Anyone with information is asked to contact Leeds CID on 101, quoting crime reference 13180379240.
Information can also be passed to independent charity Crimestoppers anonymously on 0800 555 111.