The vehicle was driving at high speed late on Saturday north of Houston when it slammed into a tree and burst into flames, the Wall Street Journal reported, quoting Harris County constable Mark Herman.
“Our preliminary investigation is determining, but it’s not complete yet, that there was no one at the wheel of that vehicle,” he said.
“We’re almost 99.9% sure.”
Police said the two crash victims were born in 1962 and 1951. Local television station KHOU-TV said the vehicle failed to negotiate a curve.
When police arrived, one of the two victims was sitting in the front passenger seat and the other in the rear seat.
Mr Herman said police had not yet determined whether the driver-side airbag had deployed and whether the car’s driver assistance system was engaged at the time of the crash.
On its website, Tesla warns that the driver assistance systems it offers do not make their vehicles fully autonomous and that active driver supervision is still necessary.
But videos regularly show moving Teslas with drivers asleep or without their hands on the wheel for extended periods of time.
The US auto safety agency said in March it has opened 27 investigations into crashes of Tesla vehicles, with at least three of the crashes occurring recently.
Tesla CEO Elon Musk said in January that he expects huge profits from its full self-driving software, saying he is “highly confident the car will be able to drive itself with reliability in excess of human this year”.
The self-driving technology must overcome safety and regulatory hurdles to achieve commercial success.
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