The site at Egerton Street site, currently occupied by a vacant former Stokes Tiles warehouse, will, subject to council approval, be redeveloped to create 50 properties, including 30 three- and four-bedroom Sky-House homes and 20 one-bedroom apartments, along with two commercial units.
The application has been submitted to Sheffield Council by CODA Planning.
The Sky-House version of the Victorian back-to-back house has been developed by architects at Sheffield's CODA Studios.
Sky-House Co director David Cross has predicted that the development could provide a £9m boost to the city's economy.
"Following the Sky-House Co success at Waverley and major developments in Oughtibridge and Stocksbridge, we are confident that now is the ideal time to bring Sky-House to Sheffield city centre and Egerton Street is the ideal location," he said.
"The development is aimed at families and urbanites and even though it is so central, it actually sits within the Silverdale School catchment area.
"We also believe the development will provide a £9m boost for the local economy and create lots of local opportunities within our 'buy-local' ethos alongside new apprenticeships and jobs."