The teenagers are set to meet with key Cabinet members Alan Johnson and David Miliband - together with arts minister David Lammy - in a bid to convince them that the Prime Minister's residence should face the wrecking ball.
The group - from Cedar Mount High School in Manchester, who are currently lobbying outside the Labour Party conference in the city - have drawn up designs for the alternative building, which includes a panic room, an underwater cabinet room and an organic farm.
The initiative, called the Green Wing, was initiated by the RIBA, with the Institution of Civil Engineers, as a way to lobby politicians at the conference.
And the students have managed to set up a meeting with Education Secretary Johnson, Environment Secretary Miliband and Lammy to persuade them of the validity of their ideas.
RIBA president Jack Pringle said: 'This is the first time a major party conference has been held in Manchester, so we wanted to do something really special bringing together education, design and sustainability.
'This is a terrific project, which has really captured the imagination of the students and will, I am sure, captivate politicians and the public alike when the students unveil their work,' he added.