Markham House in Lincoln will be flattened to make way for five new houses as City of Lincoln Council targets 400 affordable homes.
Planning officials at the authority gave formal approve to demolish the building, which was previously used for community use.
Markham House, Swift Gardens, is currently sat empty and will now make way for five two-bedroom, four-person family homes in the next two years.
The city council is looking build 400 new affordable homes and wants to reach three-quarters of its target by next year.
Senior councillors backed the plan for Markhame House, as well as another site off Rookery Lane, at a meeting last month.
The site off Rookery Lane is a much larger project with 44 homes, which needs further planning for the type of homes which will be on offer.
Council leader Ric Metcalfe said the authority will make further targets in the future.
So far 283 of the 400 additional homes have been delivered. Lincoln will also be looking to build more than 270 homes from 2020-22.
Earlier this year, the council approved plans to transform the former De Wint Court site into a care facility of 70 self-contained flats.
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