There is provided a method capable of evaluating a fastening state of a threaded joint that is used as a joint of pipes or tubes such as OCTG with a high degree of accuracy even after being fastened and a method for fastening a threaded joint of pipes or tubes using the evaluating method. The present invention provides a method for evaluating a fastening state of a threaded joint of pipes or tubes including a pin having an external thread part, a metal seal part, and a shoulder part on an outer peripheral surface, and a box having an internal thread part, a metal seal part, and a shoulder part corresponding to each part of the pin on an inner peripheral surface and being fastened with the pin. The evaluating method according to the present invention is characterized by transmitting and receiving an ultrasonic wave to and from a plurality of locations along an axial direction of the threaded joint in at least one of the internal thread part, the metal seal part, and the shoulder part of the box; detecting echo intensities for the plurality of locations; and comparing the echo intensities detected for the plurality of locations to determine whether the fastening state of the threaded joint is good or bad.