Nature provides examples of self-assemble lightweight disordered network structures with remarkable mechanical properties which are desirable for many applications purposes but challenging to reproduce artificially. Previous experimental and computational studies investigated the mechanical responses of random network structures focusing on topological and geometrical aspects in terms of variable connectivity or probability to place beam elements. However for practical purposes an ambitious challenge is to design new materials with the possibility to taylor their mechanical features such as stiffness. Here, we design a two dimensional disordered mechanical meta-material exhibiting unconventional stiffness-density scaling in the regime where both bending and stretching are relevant for deformation. In this regime, the mechanical meta-material covers a wide interval of the Young modulus -density plane, simultaneously exhibiting high critical stress and critical strain. Our results, supported by finite element simulations, provides the guiding principles to design on demand disordered metamaterials, bridging the gap between artificial and naturally occurring materials.The mechanical properties of lattice materials of many types, such as foams 1 , cellular solids 2-4 , microlattices 5 , trusses 6 , made of connected elements, have been intensively studied mainly due to their lightweight structures and remarkable mechanical properties 7,8 . The high strength to weight ratio of bone 9,10 or balsa 11 , the elastic properties of spider silk 12,13 and the fracture resistance of nacre 14,15 are just few of the naturally occurring structures that derive their mechanical properties from their underlying geometry. These types of materials attract growing interest in many fields ranging from commercial products such as those related to food industry, to architectural applications such as energy absorption and management 1 and in modern technologies where their geometrical features are exploited to achieve a myriade of performances.In the recent years composite structures started to be rationally architected with the aim to achieve targeted properties 16 , and emerging significant breakthroughs 17 are favoured alongside with the advances in digital manufacturing technologies i.e. 3D printing and automated assembly. Artificially designed materials are recently termed meta-materials 18-22 , specifically, mechanical meta-materials indicate a class of structures whose mechanical properties are a consequence of their underlying geometry rather than their constituent material 23-25 . Through the prudent choice of a meta-materials underlying architecture, it is possible to create geometries whose structural performance far exceeds that of the material from which it is made 24 . These structures can be designed to exhibit a wide range of beneficial properties, including high strength to weight ratio 26,27 , auxetic behaviour 16,28-30 , energy trapping 20,31 and fracture resistance 32,33 , among many others 23 .Typically artificil meta-...