A chip-stacked semiconductor package includes: a base chip having a base through via; a first chip stacked on the base chip in an offset form, wherein the first chip has a first exposed surface and a first through via electrically connected to the base through via; a first molding layer positioned on the base chip and covering a first non-exposed surface, facing the first exposed surface, of the first chip; a second chip stacked on the first chip in an offset form, wherein the second chip has a second exposed surface and a second through via electrically connected to the first through via; and a second molding layer formed on the first chip and covering a second non-exposed surface, facing the second exposed surface, of the second chip.