The Ministry of Defence (MOD) wants to create extra structures to protect radar equipment at RAF Menwith Hill.
The Royal Air Force site in North Yorkshire provides communications and intelligence support services to the UK and the United States.
It currently has a number of golf ball-like structures to protect equipment, known as 'radomes'.
The MOD's planning application proposes building three additional radomes, measuring 21 metres in diameter.
If the application is approved it will increase the number of shelters at the base to 37, including more radome set to be built in August 2021.
Permission to build a new "support building" has also been requested as part of the application.
The application submitted to Harrogate Borough Council by the MOD states the new shelters are "required to meet the operational output of the station".
The North Yorkshire base has been the site of protesters who oppose the nature of the station's role.