An apparatus for securing a printing screen frame coupled with a printing screen unit, the apparatus comprising a rectangular shape frame fixing means comprising multiple mounting frames having tension action parts therein and multiple corner pieces: characterized in that each of the tension action parts comprises: - a cylinder tube block provided in a cavity to be coupled to each of the mounting frames by being spaced apart by a predetermined distance from an inner side surface of the cavity of the mounting frame and having multiple cylindrical holes provided on the cylinder tube block along a longitudinal direction thereof, with partition walls arranged at regular intervals between the cylindrical holes, respectively; - multiple piston rods inserted tightly into the multiple cylindrical holes, respectively, and movable along said cylindrical holes, each piston rod having a head part and a rod part; - multiple rod covers screwed to outer ends of the multiple cylindrical holes, each of the rod covers having a through hole formed therein such that each of the rod parts tightly passes through the through hole and; - multiple elastic springs fitted between the head parts and the rod covers, respectively, inside the cylindrical holes, each of the elastic springs applying elastic force toward an inside of each of the cylindrical holes; and - multiple tension members longitudinally inserted in the cavities of the mounting frames along longitudinal directions thereof, each of the tension members being coupled to an outer end of each of the rod parts, wherein each of the tension members is slid such that a coupling protrusion of a lower surface of the tension member protrudes through an operation guide hole to be coupled to or separated from a support frame of the printing screen unit. - a cylinder tube block provided in a cavity to be coupled to each of the mounting frames by being spaced apart by a predetermined distance from an inner side surface of the cavity of the mounting frame and having multiple cylindrical holes provided on the cylinder tube block along a longitudinal direction thereof, with partition walls arranged at regular intervals between the cylindrical holes, respectively; - multiple piston rods inserted tightly into the multiple cylindrical holes, respectively, and movable along said cylindrical holes, each piston rod having a head part and a rod part; - multiple rod covers screwed to outer ends of the multiple cylindrical holes, each of the rod covers having a through hole formed therein such that each of the rod parts tightly passes through the through hole and; - multiple elastic springs fitted between the head parts and the rod covers, respectively, inside the cylindrical holes, each of the elastic springs applying elastic force toward an inside of each of the cylindrical holes; and - multiple tension members longitudinally inserted in the cavities of the mounting frames along longitudinal directions thereof, each of the tension members being coupled to an outer end of each of the rod parts, wherein each of the tension members is slid such that a coupling protrusion of a lower surface of the tension member protrudes through an operation guide hole to be coupled to or separated from a support frame of the printing screen unit.