The eight-storey development, which steps down in height to tie in with the neighbouring Crown Hotel, will house 46 flats and 1,000m 2of commercial space on the two lower floors.
Drawn up for Maple Leaf Securities, the building will sit on the site of the former Plowright Printing works on Hunslet Road, sandwiched between the new Holbeck Urban Village and the massive Clarence Dock development.
A spokesman for the Leeds-based practice said: 'The residential element is comprised of randomly arranged windows and coursing of the aluminium cladding system, so that the strength of the forms remains dominant.
'The office space is more transparent and the fins, which are attached to the curtain-walling, will give a horizontal emphasis to these levels.'
He added: 'The floor levels are denoted by a white profile that scrolls down between the levels as a continuous line.
'This is a subtle reference to the site's historic use as a print house; a roll of paper being fed through the press.'
The project is due to start on site early next year.