It happened in Hudson Road, Harehills, at about 3.40pm yesterday (Wednesday).
A teenage boy was found with serious knife injuries after a disturbance in the street.
He was taken to hospital for treatment to his injuries, which are not believed to be life threatening.
West Yorkshire Police have now arrested three youths, aged 15, 17 and 18, in connection with the incident.
They are in police custody while the investigation continues.
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