With the closing date for submissions having passed, the U2 singer, aka Paul Hewson, and his wife Ali now only need the planners' go-ahead.
If the plans are officially approved, the underground plant room at Temple Hill, on Vico Road, will be used to house energy-efficient boiler technology.
A letter from architect Colin Jennings accompanying the application stated: "The proposed use of the structure is to house a new wood-pellet boiler for the main house with associated pellet storage and services."
Mr Jennings stated the equipment could not be accommodated "within the existing house and any of the existing structures on site would not be suitable".
He said the 53sqm plant room "will be fully concealed underground and will be situated below the front forecourt of the existing main house".
The structure will be "accessed externally from the lower ground floor light well".
Mr Jennings added: "The structure is placed away from the building in order not to interfere with any of the existing front walls of the house."
He said: "Once construction is complete, the configuration of the forecourt and gravel driveway will be reinstated as per the original and there will be no visual impact on the main house or surrounding area."
And the multi-millionaire rock star will even be able to avail of a €2,500 Government grant if he gets permission for the plan.
Sustainable Energy Ireland, the country's energy agency, said grants for wood pellet boilers are not means tested.
Bono's latest plans for his seaside home are far more low-key than previous proposals.
The singer has lodged several planning applications with Dun Laoghaire council over the years, most recently getting permission for a massive redesign of the property.
In November, Bono and Ali were given permission to add a new floor to their home.
The couple have also been given the green light in the past to add a lower ground-floor conservatory.
A staff member at Dun Laoghaire council said "there are no objections on the system" against the plant room application.
He said planners would not come to a final decision on whether to give permission until July 1.