Provided is a bioink set for printing a construct that is able to carry cells, including a bioink which contains a biodegradable polyurethane and a biopolymer, and a divalent metal ion solution. The biopolymer is gelatin, agar, alginate salts, hyaluronic acid and salts thereof, chitosan, and any combination thereof. Also provided are a method of preparing a construct for carrying cells by three-dimensional printing with the bioink set, and a method of three-dimensional printing of cells by using an ink composition.