The man, aged 70, and his 57-year-old wife were killed with their dog when walking along the A44 at Floodgates near Kington on Tuesday morning.
The motorbike rider survived but was airlifted to hospital with life-threatening injuries.
Emergency services including the Midlands Air Ambulance were called to the scene at around 10.56am and the road was closed for several hours while police investigated.
The injured pedestrians were given life support by medics but were pronounced dead at the scene.
West Mercia Police is now appealing for anyone with any information or dash-cam footage to come forward.
Inspector Darren Godsall said: “Very sadly, both pedestrians died with their dog at the scene of the collision. Their family have been notified and our thoughts are with them all at such a sad and difficult time.
“The rider of the motorcycle, a man in his 50s suffered significant injuries and remains in hospital with life-threatening injuries. His family have also been updated.
“The road was closed for several hours while our investigation work took place and I would like to thank the public for their patience.
“We would like to hear from anyone who has any information or dash-cam footage of this incident or of two motorcycles travelling along the A44 in or near to Floodgates between 10.45am and 11am. Please contact us on via our website quoting RTC A44 Kington 7/9/21.”
A West Midlands Ambulance Service spokesman said: “Ambulance crews arrived on scene to find three patients, two pedestrians and a motorcyclist.
“The pedestrians, a man and a woman, were both found in critical conditions and ambulance staff immediately began administering advanced life support.
“However, despite their best efforts it sadly became apparent nothing could be done to save either patient and they were confirmed dead at the scene.
“The motorcyclist, a man, was treated for potentially serious injuries before being airlifted to Queen Elizabeth Hospital, Birmingham.”
The service sent two ambulances, a paramedic officer, a BASICS doctor and the Midlands Air Ambulance from Cosford.