The service will operate on Tuesdays, Wednesdays and Thursdays, with two departures in the mornings at 06:40 and 07:40.
Passengers will change trains at Kidderminster and continue from there.
After connecting at Kidderminster, passengers will arrive at Birmingham Snow Hill at 07:46 and 08:46 respectively.
The evening return services will leave Snow Hill at 16:46 and 17:46, arriving in Bewdley at 17:57 and 19:02 following a change at Kidderminster.
SVR said the trial was part of a long term project to assess the potential for introducing regular passenger rail services between Bewdley and the wider West Midlands rail network.
“If demand is demonstrated, it could pave the way for selected services that currently terminate at Kidderminster to be extended to Bewdley in future,” it said.