The aim of this work was to obtain insulation composite anchors based on basalt textile-reinforced vinylester and epoxy resins for fixing heavy building elevation cladding. It concerns the problem of applying materials not originating from wood, construction steel or concrete in the building industry. So far, the application of polymeric materials, including polymeric composites, in construction has been limited to paints, varnishes and glues, and the use of engineering polymers as building materials has been limited. This article presents a study on the influence of the type of basalt reinforcement (in the form of textile, chopped fibre and powder) on the mechanical and functional properties of vinylester and epoxy compositions towards potential applications as construction anchors to fasten building facades. Based on an analysis of the experimental results, a material was selected for the production of novel construction anchors. The results reported here constitute an introduction to further considerations related to the applications of vinylester resin/basalt and epoxy resin/basalt composites as construction materials alternative to commonly used steel and aluminium.