A woman and the driver of the bus both had to be led to safety by fire crews and were due to be taken to hospital for further checks.
The incident took place on Hawthorn Road, Oscott at around 7:30am this morning.
Fire crews worked to make the car and bus safe and it is believed West Midlands Police are currently holding investigations.
The road is currently closed off.
Pink Hair Solutions. based on the road, has advised customers to make alternative parking arrangements ahead of appointments.
A spokesperson for West Midlands Fire Service said: "At 7.26 on August 9, crews from Perry Barr and Erdington were called to an RTC on Hawthorne Road, Oscott.
Crews from @WMFSPerryBarr and @WMFSErdington have attended an RTC this morning involving a bus, car and van on Hawthorne Road, Oscott. Nine people were triaged by fire crews and placed in the care of @OFFICIALWMAS. The road remains closed.— West Midlands Fire Service (@WestMidsFire) August 9, 2022
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"A further man also had to be free after becoming trapped on the bus due to his injuries.
"The incident involved a single-decker bus which had collided with a parked car and van.
"A total of nine people were triaged at the scene by fire service personnel prior to the arrival of West Midlands Ambulance.
"A woman and the driver of the bus were both led to safety by our crews and were due to be conveyed to hospital for further precautionary checks.
"A further 1 man, who was trapped by injuries on the bus was extricated from the bus by firefighters using Holmatro cutting equipment.
"His injuries are not thought to be life-changing, but he too will be conveyed to the hospital for a further check.
"A total of nine casualties were handed over to the care of West Midlands Ambulance paramedics on their arrival.
"The car and bus were made safe by fire service crews. The local council highways department has also been in attendance and will reattend later once West Midlands Police have concluded their investigations.
"Hawthorn Road remains closed for police to carry out their investigations and the incident has been left in their care.
"Crews will shortly be leaving the scene as of 09:08."
West Midlands Ambulance Service had shared that eight occupants of the bus were assessed, with three were uninjured and discharged on scene. Th
"The five remaining patients, the bus driver and four passengers, received further assessment and treatment on scene by the team of ambulance staff," A statement said.
"A male passenger sustained potentially serious injuries and received treatment by ambulance staff before being conveyed to Heartlands Hospital for further care.
"The driver, a man, along with a passenger, a woman, were conveyed to Good Hope Hospital with less serious injuries for further checks.
"A second woman was assessed and conveyed to Heartlands Hospital for further precautionary checks. A third woman was discharged on scene."