Abstract: A containment and disposal bag for human bodily fluids is disclosed which includes a bag having a hollow interior and a top at least partially open to receive the bodily fluids; preferably a funnel structure within the bag to channel said bodily fluids into the interior and to restrict expulsion of bodily fluids from the interior prior to sequestration; a hydrophilic material within the bag which is rapidly gellable upon contact with the bodily fluids in the bag, the gellation serving to essentially completely sequester the bodily fluids and prevent it from thereafter being expelled from the bag; and a closure to close the top of the bag after introduction of the bodily fluids into the bag. The hydrophilic material is commonly a polymer which is activated upon contact with the water-based bodily fluids and which gels rapidly (normally within thirty seconds or less) to sequester the bodily fluids.