A method of producing nonwoven textile by a spunmelt process of a polymer, the basis of which is at least one polyolefin, comprising a barrier and antistatic treatment, especially for protective garments for industry and health care. A polyolefin polymer which is suitable for forming fibers is mixed with a first additive capable of modifying a surface property and capable of migration through the polymer, then the mixture is used for producing at least one layer of the nonwoven textile by a spun-melt process, and prior to the termination of the migration of the first additive and to the stabilizing of the final barrier properties on the surface of the fibers a second additive is applied to the layer, the second additive being capable of modifying the antistatic property of the material, and then the nonwoven textile is exposed to a temperature and relative humidity conditions for a time period such that the first additive migrates towards the surface and the second additive undergoes changes on said surface.