Trying to feed his car round the outside of Button as they drove down the pit straight, Hamilton found himself squeezed against the wall and suffered damage to his car.
"I felt that I was at least half-way alongside him," said the 26-year-old. "Jenson made a mistake going into the final corner so I was able to get a better exit, and was coming down the outside of him.
"I don't know if he could see me or not, but he just kept coming over and over."
Button was heard shouting, "What is he doing?" over the in-car radio system.
The collision left Hamilton's left rear tyre trailing the car, which the McLaren pit wall falsely interpreted as a broken suspension, according to Hamilton. Although he tried to crawl round the track to the pits, Hamilton said he was instructed to pull over.
"The team said I had a broken suspension and so I pulled over, but when I got out that wasn't the case", Hamilton told reporters.
"I think there is such a thing as an accident," said McLaren's Jonathan Neale. "We're not the first team to have such an accident and I'm sure we won't be the last."
Button, who does not appear to have suffered damage from the incident, is currently 10th after already having pitted twice. Inclement weather has seen the race suspended for the time being.