Police said that around 6:20 a.m., a driver was heading westbound on Westheimer and hit the woman.
Officers and paramedics arrived and found the woman dead at the scene.
Investigators are trying to figure out if the woman was in the crosswalk.
Authorities said the driver, who claims he had the green light and didn't see the woman, showed no signs of intoxication.
The district attorney's office is also investigating.
HPD said in a tweet that drivers in the area should expect delays.
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