Title:Stellar kinematics of the And II dSph: Discovery of a rotating dSph. Abstract: We present kinematic profiles for the M31 dwarf spheroidal (dSph) satellite galaxy Andromeda II (And II) based on Keck DEIMOS spectroscopy. We identify 537 individual red giant branch stars in this galaxy using photometric and spectroscopic diagnostics to remove contamination from Milky Way dwarf and M31 field stars. By measuring accurate radial velocities of stars out to 2.5 effective radii, with a median error of 5.2 km/s, we find a mean systemic velocity of -192.3 km/s. We measure an average velocity dispersion of 8.8 km/s and observe a flat dispersion profile for the major axis. We also measure an average velocity dispersion of 7.5 km/s and a maximum rotational velocity of 10.5 km/s along the minor axis. With a v/sigma of 1.4, And II is the first rotationally dominated dSph galaxy discovered along with being the first dSph to show prolate rotation. Given its large distance from M31 resulting in a King tidal radius of ~4 effective radii, which our data is well within, tides are not likely to have affected the internal kinematics of And II.