The incident happened around 9.15am on Sunday, May 6, on the A5 Watling Street near the Ashby St Ledger turn.
A pedestrian and a red BMW motorcycle carrying a passenger were involved.
The passenger and the pedestrian were taken to hospital for treatment as a result of the collision.
Officers would like to speak to anyone who may have witnessed the collision or who may have any information regarding it.
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Anyone with information or who witnessed this incident is asked to call the Drivewatch Hotline on 0800 174615.