The teenager remains in custody today, after the incident at around 6.15pm.
West Yorkshire Police said they were called to Amberton Crescent to reports of a stabbing.
They found a 40-year-old man who was then taken to hospital with "non-life threatening" injuries.
A spokesman for the force said: "A 17 year old male was arrested at the scene on suspicion of wounding with intent. He remains in police custody."