Using mm-wave molecular data from the Millimetre Astronomy Legacy Team 90 GHz Survey (MALT 90), we have determined the radial velocities and kinematic distances to 1,912 high-mass star-forming regions. This is the largest sample of star-forming regions for which reliable distances have been determined. We resolve the near-far kinematic distance ambiguity by searching for absorption or self-absorption features in the 21 cm H I spectra toward each of the molecular clumps. The distribution of the high-mass star-forming clumps clearly traces Galactic spiral arm features including the Scutum-Centaurus Arm, the Norma Arm, and the Sagittarius Arm. Of particular interest is the first detection of the most distant portion of the Scutum-Centaurus Arm at the far kinematic distance (~10 kpc from the Sun). Since high-mass star-formation occurs almost exclusively in spiral arms, these dense star-forming clumps may provide the best tracers of spiral structure in the Milky Way.