Creep stresses and strain rates have been obtained for a thin rotating disc of exponentially varying thickness with inclusion using transition theory. Results obtained have been discussed numerically and depicted graphically. It has been observed that circumferential stress is less for the disk whose thickness decreases exponentially along radius as compared to the flat disk. With the introduction of compressibility parameter, there is small decrease in circumferential stress as compared to the disk made of incompressible material. It is concluded that disk made of compressible material is on the safer side of the design as compared to the incompressible disk with exponentially variable thickness as well as to the flat disk.