The incident happened at around 4pm yesterday (Monday, January 7) in the Regent Street area of Leeds.
West Yorkshire Police confirmed on Tuesday morning that enquiries were still ongoing in relation to the second male.
Lamborghini pictured with car on top of its bonnet at busy Leeds junction following crash
Rage Against The Machine pull out of headline slot at Leeds Festival
Leeds Bradford Airport: Full statement on August security staff strike
Leeds thunderstorms warning as Met Office shares latest weather forecast
Woman "turned blind eye" to drug dealing at her home, Leeds Crown Court told
A West Yorkshire Police spokeswoman said: "Police are investigating an affray involving two males which is reported to have occurred in the Regent Street area of Leeds at around 4pm this afternoon (Monday, 7 January).
"A 16-year-old boy has been arrested and is currently at hospital receiving treatment for a non-life threatening stab wound.
"Enquiries are ongoing to trace another male who is believed to have been involved."
For updates on breaking incidents as they are happening around Leeds - join our new Facebook group here.