It happened around 11:30 p.m. in the area of Independence Boulevard and Bent Oak Drive.
The couple was in a Jeep when someone opened fire on them through the passenger windows, authorities said.
They were able to drive to the home of a friend or family member a couple of miles away and call 911, but there was no word on a description of the suspects involved.
Both were taken to a hospital and were stable but in serious condition.
Authorities said they believe road rage may have been a factor in the shooting.