The application is for student accommodation on the former Mecca bingo hall site in Fishergate.
Olympian Homes have submitted the plans to City of York Council, working with the owners of the site, Grantside and North Star, following a public consultation process.
The proposals for the bingo hall which closed in March include 280 student bedrooms, landscaping and extensive bicycle parking.
To reflect the site's heritage, the new building will be named Rialto House after the cinema and venue which was demolished to make way for the bingo hall.
Following feedback through the consultation, air source heat pump equipment proposed to be located close to existing William Court residents has now been removed from the submitted plans.