Farmer Duncan Davies wants to open the free-range production unit on his Cwm Farm in Bwlch-y-Ffridd, near Newtown.
The plans have been submitted to Powys County Council, which will decide on the outcome later this year.
In his application, Mr Davies said he wanted to diversify from his current herd of cows and flocks of sheep.
He said: "The business is considering diversifying to accommodate a free range poultry unit to accommodate 32,000 free range birds and is an enterprise which will provide a sustainable future.
"The business is more than confident that the free range unit can be a success and supplement the current farm profits."
The building would allow a ratio of 2,000 birds for every hectare of land.
Mr Davies added: "The birds shall have access to the land lying to the east, south and west of the proposed building which shall be dedicated pasture for the enterprise.
"The land will be fenced using electric fencing to keep predators out. Birds will be inspected at least once a day.
"The birds are free range and have an opportunity each day to exit the building and enter onto the designated ranging ground."
It is expected the unit will produce 800 tonnes of manure for every 14 month cycle, with it being removed every four days and spread on the farm.