A method for using a salt of meta-arsenite (AsO2—) to suppress growing of human cancer cells is provided to find a method of curing human cancers. Effects of the salt of meta-arsenite (AsO2—) on various human cancer cells are investigated via in vitro cytotoxic activity and in vivo anticancer activity against nude mice. For in vitro cytotoxic activity, six (6) kinds of human cancer with nine (9) cancer cell lines, eight (8) kinds of human cancers with twelve (12) cancer cell lines and ten (10) kinds of human cancers with forty one (41) cancer cell lines are tested. For in vivo anticancer activity, two (2) kinds of cancers of human renal cancer RXF 944LX and leukemia cells are tested utilizing nude mice.