We use a newly developed bottom-up model of the entire Canadian energy system (TIMES-Canada) to assess potentials for electrification of the road transport sector. A special emphasis has been put on the modelling of the Canadian road transport, by considering a variety of vehicles for passenger and freight transportation. Besides a business-as-usual (baseline) scenario, we have analysed an energy policy scenario imposing targets for electric vehicle penetration and a climate policy scenario imposing targets for greenhouse gas emission reduction. Our analysis shows on the one hand that electric vehicles penetrate notably the passenger vehicle market after 2040 in the baseline scenario and after 2030 in the energy policy scenario (following the assumed penetration targets). On the other hand, the assumed climate policy forces a stronger penetration of electric vehicles for passenger transportation, with a progressive phasing out of internal combustion engine vehicles, whereas the latter vehicles remain dominant for freight transportation but with a shift away of fossil fuels and in favour of biofuels. A sensitivity analysis on the (assumed) evolution of electric vehicles over time confirms these general trends.