Cardigan Road in Burley is shut near to the Co-op, with a spokesman for West Yorkshire Police saying officers were called at about 3.45am amid concerns for the welfare of a man at an address on the street.
The spokesman said: “Officers are at the scene and trained negotiators are speaking to the man.”
Firefighters and paramedics have also attended the incident.
There are no reports of injuries or arrests at this stage.
Bus company First says its 19 and 19a services are diverting away from Cardigan Road.