Methods of treating Fabry disease via administration of stabilized plant recombinant human alpha galactosidase protein comprising at least two alpha-galactosidase monomers being covalently linked to one another via a linking moiety, and unit dosages of protein are disclosed herein. The disclosed protocols are safe, have greater than 2 week intervals between administrations and exhibit important improvement in patient's disease parameters, in terms of reduced Gb3 accumulation, pain and GI parameters, kidney and cardiac stabilization in the clinical setting.