Speaking with The Associated Press, a police official explained that the footage showed Bruce Jenner steering to avoid cars slowing for a traffic light in front of him on Pacific Coast Highway.
The Keeping Up With The Kardashians star's SUV then rear-ended two cars, pushing a Lexus into oncoming traffic, the official added.
The driver, Kim Howe, 69, was killed when her Lexus was struck head-on by a Hummer.
The official was briefed on the video (a recreation of which has been released by TMZ) but was not authorised to speak publicly and talked to the AP on the condition that he could remain anonymous.
It was also revealed that the video showed that Jenner's vehicle continued forward and rear-ended a Toyota Prius, despite initial reports claiming that the Lexus had struck the Prius.
Several other people were injured in the pileup, including an infant and two young children.
Bruce was being followed by paparazzi at the time, but they did not play a factor in the crash, sheriff's officials said.
It has also been investigated as to whether or not Jenner was distracted by his mobile phone at the time, but the video appears to support his claims that he was not texting at the time of the crash.
If Bruce is found responsible for the Feb. 7, four-car accident that left one woman dead and eight more injured then he could be facing six years in jail.
On the day after the crash, Bruce Jenner released a statement calling the accident "a devastating tragedy" and vowing to cooperate with investigators.
He said: "My heartfelt and deepest sympathies go out to the family and loved ones, and to all of those who were involved or injured in this terrible accident.
"It is a devastating tragedy I cannot pretend to imagine what this family is going through at this time. I am praying for them."