The membrane has a form of a thin, porous, and elastic fibrous structure with spontaneously distributed polymer fibres (9) with a thickness ranging from 0.5 to 4 pm. The specific surface area of the membrane ranges from 5 m2/g to 20 m2/g. The fibres (9) of the membrane are coated with hydroxyapatite nanoparticles with a size of 50 nm at most and a molar ratio of calcium to phosphorus (Ca/P) ranging from 1.56 to 1.66, and the hydroxyapatite content in the membrane is 10 to 25% by weight. The material of the fibres (9) is a mixture of poly-DL-lactide (PDLLA) and polylactide-glycolide (PLGA). The hydroxyapatite coating of the fibres (9) of the membrane has the form of a matrix of these fibres (9) with a thickness ranging from 10 to 300 nm, and the coating rate of the fibres (9) by hydroxyapatite particles is at least 40%. The porosity of the membrane ranges from 50 to 95%, the size of its pores ranges from 5 to 30 pm, and its water absorption capacity ranges from 300 to 600%. The method of producing such membrane includes a step of producing the aforementioned fibrous structure using the method of electrospinning from a polymer solution and a step of coating the polymer fibres (9) of the produced structure with a hydroxyapatite layer by immersion. During the first step, the fibrous structure is produced from a solution made of a mixture of poly-DL- lactide (PDLLA) and polylactide-glycolide (PLGA) and a volatile solvent. During the second step, a water suspension is produced with a temperature of 30°C at most, in which the dispersed phase are hydroxyapatite particles with an average grain size of 50 nm at most and their mass content in the entire suspension is 0.5% at most. After immersing the fibrous structure in the prepared suspension, an ultra- sound wave with a power intensity ranging from 3 to 15 W/cm2 and a duration of at least four minutes is generated near the fibres (9) of this structure.La membrane se présente sous la forme d'une structure fibreuse fine, pore