"Innately, I would just go all the way down to the end. I felt somebody coming up. I thought, oh they want to take a photo or something. As turned, I'm up against the post like it's the French Connection or some s***, and I turned. I looked down and I see a knife."
The Hollywood star recalled the knife being almost three inches long.
He joked: "I have my headphones on the whole time. I can't hear anything. I'm just listening to music. So it's scored, the whole thing was scored.
"I can't remember [what I was listening to]. I look up, I see the person's eyes, and I'm taken by how young they are."
Bradley then started running towards an exit in a bid to escape.
Appearing on the "Armchair Expert" podcast, the actor explained: "I jumped over the turnstile, hid around the white, tiled entrance to the subway [and] took my phone out. He jumped over, running away.
"I took a photo of him. Then I chased him up the stairs. He started running up 7th Avenue. I took two more photographs of him.
"I ran down two police officers in an SUV, showed them the photograph and I'm, like, talking to them, and the guy kept saying - it was so interesting - he's like, 'Are you stabbed?' I was like, 'No,.' He was like, 'Check to see if you're stabbed.' What happens is people get
stabbed and they're in shock.
"I looked to see if he was right. … And then I got back on the subway and picked up my daughter."