Abstract: A method for supporting one or more fixtures on a membrane-covered roof comprises steps of (a) forming one or more brackets coated each on at least one surface with a material compatible for heat welding to roofing membrane, (b) cutting a piece of roofing membrane, separate from the membrane of the membrane-covered roof, the cut piece of roofing membrane having a length and width substantially greater than dimensions of the one or more brackets, (c) joining the one or more brackets by heat welding to the cut piece of roofing membrane, leaving substantial overhanging projection of the cut piece of roofing membrane from the one or more bracket in every direction from the one or more brackets, and (d) heat welding the cut piece of roofing membrane to the membrane of the membrane-covered roof, thereby securing the one or more brackets to the membrane-covered roof.