Emergency services were called to the junction of Stourport Road and Sutton Park Road at around 3.10pm on Thursday.
A car, a grey Kia Sorento, struck two pedestrians – a young child and a woman, in her 40s – as they crossed the road.
The woman was also pushing a baby stroller at the time, however the baby was unharmed in the collision.
Both the woman and the young child suffered serious injuries, and were rushed to hospital.
West Mercia Police are appealing for witnesses. The driver of the vehicle, a man in his 40s, has been interviewed by police and no arrests have been made.
A spokesman for the force said: "Officers are appealing for witnesses following a collision in Kidderminster on Thursday, October 1. The collision, which happened at 3.10pm at the Sutton Park Road junction with Stourport Road occurred when car, a grey Kia Sorento struck two pedestrians, a young child and a woman in her 40s, as they crossed the road.
"The woman was also pushing a baby stroller, however the baby was thankfully unharmed.
"The woman and the child suffered serious injuries and were taken to hospital. There were significant traffic delays in Kidderminster as the road was closed while emergency services attended the scene.
"Officers would like to speak anyone who witnessed the incident, or any passing motorists who may have dashcam footage."
A West Midlands Ambulance Service spokesman added: "We were called at 3.03pm on Thursday reports of a collision involving a car and pedestrians on Stourport Road. On arrival we discovered two patients, both pedestrians.
"One of them, a young girl, was treated for a serious but not life-threatening injury before being taken to Birmingham Children’s Hospital.
"A woman, who was also a pedestrian, was treated for multiple injuries, which aren’t believed to be life-threatening, before being taken to Worcestershire Royal Hospital."
Anyone with information is urged to call West Mercia Police on 101.