The X-Ray Telescope (XRT) onboard the Hinode satellite is an X-ray imager that observes the solar corona with unprecedentedly high angular resolution (consistent with its 1 ′′ pixel size). XRT has nine X-ray analysis filters with different temperature responses. One of the most significant scientific features of this telescope is its capability of diagnosing coronal temperatures from less than 1 MK to more than 10 MK, which has never been accomplished before. To make full use of this capability, accurate calibration of the coronal temperature response of XRT is indispensable and is presented in this article. The effect of onorbit contamination is also taken into account in the calibration. On the basis of our calibration results, we review the coronal-temperature-diagnostic capability of XRT.Keywords: Corona; Instrumentation and Data Management 1 National Astronomical Observatory of Japan (NAOJ), 2-21-1 Osawa, Mitaka, Tokyo, 181-8588, Japan email: noriyuki.narukage@nao.ac.jp 2 Institute of Space and Astronautical Science/ Japan Aerospace Exploration Agency (ISAS/JAXA), 3-1-1 Yoshinodai, Sagamihara, Kanagawa, 229-8510, Japan 3 Nobeyama Solar Radio Observatory/ National Astronomical Observatory of Japan, Minamimaki, Minamisaku, Nagano, 384-1305, Japan 4 Space Engineering Development Co., Ltd., 1-12-2 Takezono, Tsukuba, Ibaraki, 305-0032, Japan 5 Smithsonian Astrophysical Observatory, 60 Garden Street, Cambridge, MA 02138, USA.