"Both scenes are secure at this time," the Austin Police Department said in a message on Twitter about the separate shootings. It was not immediately clear how many people had been shot.
An Austin police representative did not immediately return a call or an email seeking comment.
In an earlier post, the department had described an "active shooter incident" in the city's downtown that had left multiple victims and warned people to stay away from the area.
A woman in her 30s was killed in the violence, the Austin American-Statesman newspaper reported on its website, citing the Austin-Travis County Emergency Medical Services agency. Reuters could not immediately confirm the report.
The Austin-Travis County Emergency Medical Services agency confirmed in a message on Twitter that multiple people had been shot.
Austin has a population of more than 900,000.