Thurman told the Times the crash caused permanent damage to her knees and neck.
Tarantino offered his version of the story in an interview with Deadline Hollywood.
Tarantino said in retrospect the road he thought was safe actually was not and he faulted himself for not doing a double-check. "That was one of my most horrendous mistakes, that I didn't take the time to run the road, one more time, just to see what I would see," he said.
Instead, believing that the road wasn't a problem, he convinced Thurman to drive around 30-45 mph.
"Uma's response was ... 'OK' because she believed me, because she trusted me. I told her it would be OK. I told her the road was a straight line. I told her it would be safe. And it wasn't. I was wrong. I didn't force her into the car. She got into it because she trusted me. And she believed me."
Watching the star of his movie crash was "just horrible," Tarantino said.
"It was heartbreaking. Beyond one of the biggest regrets of my career, it is one of the biggest regrets of my life."
Tarantino said he went back over the road later and found "a little mini S-curve" that hadn't been clear to him earlier. He also said he had misjudged how much sand there was in the dirt road.
Tarantino said "a trust was broken" and he and Thurman were at odds "for the next two to three years," before coming to terms with what had happened.
"We had a big dinner in the Soho House in New York and there we dealt with all the car stuff, and all the resentments she had toward me. The things she felt I could have done better in protecting her in that movie. And we hashed it all out, put it behind her and we've been fantastic friends ever since."
In the New York Times article, Thurman said that Tarantino atoned for the accident by giving her what she had demanded for years — the film footage of the crash. In her Instagram post she alleges that the producers of Kill Bill Vol. 2, including Weinstein, tried to suppress the footage.
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