Police arrested the 38-year-old man after being called to Hanover Street at 5.12pm yesterday.
West Yorkshire's Road Policing Unit last night tweeted: "There has been speculation on social media about what happened this tea time.
"One of our units attended and arrested a person wielding these in the street. We don't just deal with vehicles and road offences!"
A spokesman said this morning that the man was arrested on suspicion of possessing an offensive weapon in a public place.
He said: "No injuries were reported and the man was arrested without incident.
"He remains in custody at this time."