The phonon-limited resistivity of aluminium has been calculated using a local, first-principles pseudopotential which has been useful in the calculation of other properties of aluminium. This pseudopotential is obtained from the induced electron density around an aluminium ion in an electron gas. From this pseudopotential, the interionic potential, the phonons (which are calculated by the self-consistent harmonic approximation) and finally the phonon-limited resistivity have been obtained. The results are very similar to those obtained using a phenomenological, Heine-Abarenkov pseudopotential for aluminium.