The Sloan Digital Sky Survey III/Apache Point Observatory Galactic Evolution Experiment (SDSS-III/APOGEE) is a high resolution H-band (1.51-1.68 μ) spectroscopic survey covering all Galactic populations within the Milky Way. During the survey's three-year lifetime, we plan to target 100,000 Galactic stars, mostly red giants, from within the disk, bulge, and halo. Target selection is primarily based on near-infrared 2MASS data, and we use the RJCE method with mid-infrared photometry from GLIMPSE and WISE to correct for the effects of reddening and extinction. We also employ Washington+DDO51 photometry in selected fields to further reduce dwarf contamination in the targeted sample. Open clusters falling serendipitously in the targeted fields require a separate technique to most efficiently select cluster candidate members, and we present the selection procedure used for these targets.