The angular distribution of products in the electron impact dissociation of H2+ has been calculated following closely the Born approximation treatment of E. H. Kerner [Phys. Rev. 92, 1441 (1953)]. When the translational kinetic energy of separation greatly exceeds the initial rotational energy of the molecule, as is normally the case, the fragments are ejected nearly along the molecular axis. For ``axial recoil'' the leading term in the differential cross section shows a cosine-squared anisotropy peaked about the momentum-transfer vector, independent of the initial rotational state of the molecule. This is in contrast to the findings of Kerner. The inclusion of higher-order terms in the differential cross section produces interference effects which shift the maximum of the angular distribution away from the momentum transfer vector towards larger angles. However, the contribution of the leading dipole term strongly overshadows the effects of these higher-order multipole terms except in certain cases quite close to threshold. When the angular distribution of products is measured about the electron-beam direction k0, rather than the momentum transfer vector K, the anisotropy assumes in the dipole limit a simple form proportional to IK(θ)=cos2θ′ cos2θ+12 sin2θ′ sin2θ, where θ′ is the angle included between k0 and K. Upon integrating over all possible values of K for a fixed electron-impact energy, the form of the anisotropy is found to be a maximum close to threshold, but is first degraded and then reversed in sense as the bombarding electron energy is increased. In the high-energy limit, however, the angular distribution does not approach a sine-squared anisotropy, but rather a limiting form is asymptotically approached corresponding to an average θ′ of about 68°. Comparisons are made with the related experimental studies of G. H. Dunn and L. J. Kieffer [Phys. Rev. 132, 2109 (1963)] on the dissociative ionization of H2.