This paper presents a new method of constructing statistical shape model for face shape modeling and this model is capable of generating shape variation. Traditional statistical shape models are constructed by approximating the distribution as a Gaussian distribution and the shape variation is represented as a linear function, which can not adequately represent non-linear deformation. Here we analyze the positions of points set and find that fuzziness and randomness in the shape deformation can not be denied. The unified model, based on cloud model, is presented to describe the face shape and its deformation. We describe the model in detail and give examples of the resulting model.