It happened on Pierce and Main in downtown Houston.
It was just after 1 a.m. Tuesday when police say the parents were pushing the stroller across the street.
Investigators say they were crossing against the light.
As they entered the street, a man driving a black Mercedes with New Mexico plates hit the stroller.
The 1-year-old was thrown from the stroller.
Police say the driver of the car had a green light, and it was the parents who were crossing against the signal when the accident happened.
"It appears that a 1-year-old child was being pushed across the street by the parents when a vehicle went through the intersection and struck the stroller," said Lt. Larry Crowson.
HPD did give the driver a sobriety test. Alcohol does not appear to be a factor in this accident.
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