The Born approximation is applied to the collision of electrons with normal hydrogen molecules. Cross sections are calculated for collisions accompanied by the vibration-rotation transitions 0, 0 → n,l ([n = 0, 1], [l = 0, 2, 4]) for incident electron energies between 0 and 250 eV. Special attention is given to the choice of the interaction potential, the form of which has a marked effect upon the pure vibrational excitation function in the low-energy region where a sharp peak appears. The rotational excitation does not show the same sensitivity. Elastic scattering is also treated and the results are in satisfactory agreement with those of previous workers.