Owners Neil and Linda Grant will continue with their other centre, Ferndale Garden Centre in Dronfield, Derbyshire.
The Sheffield centre has been known as Abbeydale Garden Company since 1994.
South Yorkshire Passenger Transport Executive has bought the site as a carpark for Dore station.
The family also owns a coffee shop at The Forge in Dronfield.
David Young, director of customer experience at South Yorkshire Passenger Transport Executive, said a planning application for the car park would be submitted later this year.
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