A dust collector for a power drill is provided that includes a cylinder of sufficient size to accept at least a foremost portion of a power drill. The cylinder includes a gasket or seal at the forward end for contact with the wall or working surface to be drilled. A rubber or other elastic membrane or web is provided over the opposite end of the cylinder and an opening is formed in the membrane or web to fit snugly around the forward end of a power drill. A narrowing or neck may be used in place of the web to provide an opening for the forward end of a power drill. An arrangement of holes is formed in the wall of the cylinder. A vacuum hose is connected to the cylinder by a direct connection to the cylinder or by connection of the vacuum hose to a pistol grip handle attached to the cylinder. By connecting the vacuum hose to a shop vacuum, household vacuum or other vacuum source, the power drill may be inserted into the opening in the web and holes drilled in walls or other surfaces without disbursing dust into the surrounding area.