We present the results of a systematic search for gravitationally lensed arcs in clusters of galaxies located in the Hubble Space Telescope Wide Field and Planetary Camera 2 data archive. By carefully examining the images of 128 clusters we have located 12 candidate radial arcs and 104 tangential arcs, each of whose length-to-width ratio exceeds 7. In addition, 24 other radial arc candidates were identified with a length-to-width ratio of less than 7. Keck spectroscopy of 17 candidate radial arcs suggests that contamination of the radial arc sample from nonlensed objects is ~30%-50%.