The first person was struck by a train at around 5pm on Thursday (April 5), with a second fatality reported at the station some three hours later. Neither individual has been named.
Officers have confirmed that neither death is being treated as suspicious and the cases have been referred to the Birmingham and Solihull Coroner.
A British Transport Police spokesman said: "Officers are making a number of enquiries into both these incidents."
The emergency response caused major disruption to train services, with operators confirming that the lines had reopened at around 9.30pm. Journeys to Birmingham New Street, Coventry and London Euston were among those affected.
- If something is troubling you and you would like someone to talk to, call Solihull Samaritans on 0121 705 2255. For more information about the support available visit the charity's website.