Disclosed herein is a fractal antenna for a vehicle. First and second radiation elements are downwardly inclined from an apex ridge, and disposed opposite each other on the left and right sides inside a radome for protecting the antenna. First and second parasitic elements are formed in an inner space which is formed by the first and second radiation elements. Further, the first and second parasitic elements are disposed to be parallel to and spaced apart from the respective first and second radiation elements at regular intervals, are downwardly inclined from an apex ridge, and are disposed opposite each other on the left and right sides. The first and second radiation elements are respectively formed on part of the upper surface of a first substrate and part of the upper surface of a second substrate in patterns each having a predetermined shape.