A low on-resistance silicon carbide semiconductor device is provided to include an ohmic electrode of low contact resistance and high adhesion strength formed on a lower surface of silicon carbide. Specifically, the silicon carbide semiconductor device includes at least an insulating film, formed on an upper surface of a silicon carbide substrate, and includes at least an ohmic electrode, formed of an alloy comprising nickel and titanium, or formed of a silicide comprising nickel and titanium, and which is formed on the lower surface of the silicon carbide substrate.