A process for antimicrobial finishing of textile fabrics, especially of wovens, includes the steps of: a) treating a textile fabric with a first dilute aqueous liquor including at least one water-soluble polymeric dispersant and/or a polymeric thickener and at least one particulate silvery constituent selected from i) sparingly water-soluble salts of silver, ii) a silver sol and iii) a pulverulent silvery material, and b) treating the textile fabric with a second aqueous liquor b) including an aqueous composition of a binder.