The present invention relates to the installation of systems in aircraft fuselages such as thermophonic insulation mattresses (300) and devices (102, 122) such as onboard systems, and bundles of electric wires or fluid ducts (air, water, oxygen, hydraulic fluid). The invention more particularly relates to a structure (100) for fastening onto an aircraft fuselage including at least frames (112) and stringers (110), said structure including: fuselage stabilisers (118, 118') connecting the frames and stringers, wherein two stabilisers (118, 118') of two consecutive frames (112, 112') face each other between the two consecutive frames; and a strip board (200) connecting said two stabilisers and including fastening means (206, 212, 212', 212'') arranged so as to receive corresponding fastening means of said insulation mattresses (300) and said devices (120, 122).