Asphalt Cement Concrete (ACC) is a new material. On the basis of Kuhn’s paradigm, conventional methods which are proper for similar road pavement materials were applied for studying the ACC. ACC is obtained from cold mixing technology such ingredients as cement-sand mortar or cement-mineral aggregate mortar, or cement-sand-mineral aggregate mortar with recycled Asphalt Concrete (AC) mixture or with recycled Mastic Asphalt (MA) mixture. Quick setting cement (CEM I 52,5 NA) is used in all mentioned cases. Novelty of the presented material is due to existence of two internal bounds - flexibility and rigidity. Such ACC parameters as stiffness, deformability and strength in general depend on type and characteristics of cementitions grout which coats applied recycled asphalt materials and fills mixture’s air voids. ACC layer stability may be predicted using viscoelastic model parameters of constitutive relations, including Burgers model, under steady and slow loadings, finally expressed by exponential formulae. This is the research study. Its basic part consists of laboratory and field testing and obtained tests results analysis. Further, road pavements were designed with subbase of ACC with improved performance comparing to typical materials.