The centre was formerly known as Rhinegold Garden Centre and will now be called Langlands Loxley.
A representative said it was business as usual at Garden Style, where Langlands took over last week.
The sale was handled private and confidentially by Alexander Mackie Associates who acted on behalf of the vendors.Alexander Mackie Associates would like to wish both parties all the very best for the future.
Along with the original and larger site at Shiptonthorpe, York which celebrated its 50th anniversary last summer Langlands also has a second store at Whinmoor Leeds bought in 2009.
HSBC lent Langlands £900,000 to make the purchase.
Langlands director James Ducker said: "This is an exciting time for us and work on site is already underway to bring the quality and exceptional service to Sheffield that makes us one of Yorkshire’s leading garden ventre shopping attractions. We are delight to welcome Diane the centre manager and her team of 20-plus staff into the Langlands family".
The centre has many specimen plants growing in the grounds, including unusual varieties.
Former owners, Pat and Kerry Brears, who have owned the garden centre for nine years, were sad to hand over the business but have not gone too far away to continue and concentrate on their landscape amd garden design company from a site just behind the garden centre.
Langlands Director Ian Ducker added: "The purchase of the site and expansion of the company would not be possible without the fantastic teams of staff we have in both our centres. We are also very excited to be adding to the almost 30,000 Loyalty Card Customers we already have and offer the gardeners of Sheffield some great offers with our Loyalty Card."