Jenner, 65, said he relates with the pain the family members of the deceased are going through.
"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," Jenner said in a statement.
"It is a devastating tragedy and I cannot pretend to imagine what this family is going through at this time. I am praying for them. I will continue to cooperate in every way possible," he added.
Jenner passed a sobriety test and voluntarily submitted a blood sample. It was initially reported that paparazzi were chasing the 65-year-old's vehicle, but police said there are no signs that photographers played a role in the crash.
There are reports that police plan to examine the cellphone records of the reality star and others involved in the accident to see whether texting played a role.