Attenuating masks for selective attenuation of radiation, particularly from an x-ray source in brachytherapy, employ materials having atomic number in a specific range, so as to attenuate radiation dose intensity generally proportionally through a range of distance from the source. Some preferred attenuation materials are silver and molybdenum. A set of small masks can be provided for a particular design of catheter that holds a radiation source, each mask having a size and shape to define a different solid angle of masking, so that in a brachytherapy procedure, sensitive tissue such as bone or skin can be protected by proper selection of and positioning of the attenuating mask, to reduce the dose intensity to that tissue.