A drive assist apparatus includes: a dead zone recognition unit that recognizes a dead zone not visible to a driver in an advancement direction of a host vehicle; a moving body information setting unit that sets, as information relating to a moving body that may jump out from the dead zone, moving body information including at least an assumed speed of the moving body; a speed region calculation unit that calculates, on the basis of the moving body information set by the moving body information setting unit, a speed region of the host vehicle, the speed region being a region in which the host vehicle may contact the moving body if the host vehicle advances in the advancement direction; and a target speed calculation unit that calculates a target speed of the host vehicle on the basis of the speed region.