Abstract: The present invention is comprised within tissue engineering and, specifically, within bone regeneration. The invention relates to a porous three-dimensional matrix of monetite which is biocompatible, has structured porosity and is predefined and reabsorbable, as well as to the method of synthesis capable of producing said material and the applications thereof. These matrices are a perfect base for cell colonization and proliferation, allowing the application thereof in tissue engineering and bone regeneration as a result of their advantageous properties of biocompatibility, reabsorption, osteoinduction, revascularization, etc.