Disclosed is a method for generating progressive solid models based on a cellular topology. A cellular model generating section 10, if a specific feature-based model is inputted, performs a mapping operation on the input feature-based model with reference to an internal feature library, thereby generating cellular topology models based on feature models. A progressive model initializing section 20 composes cells by use of volume attributes of the cells according to a relationship between the input feature-based model and the cells obtained from the cellular topology model to generate an initial cellular model SM0 which is simplified to generate a progressive solid model, and then searches n delta volumes DVi transiting the initial cellular topology model SM0 by composing and decomposing the cells so as to progressively complement the difference between the initial cellular topology model SM0 and the input feature-based model. A progressive model generating section 30 generates n progressive features PFi defined as a face subset of the delta volume and corresponding attributes from the n delta volumes DVi, and outputs n progressive cellular models PFi and the initial cellular model SM0 as the progressive solid model in the form of {SM0, {PF0, PF1, . . . , PFn−1}}.