Offset paraboloid antenna reflectors （PSARs） made of carbon fiber prepregs are usually subject to thermal deformation， curing shrinkage deformation and mechanical deformation during the curing process.Excessive deformation will lead to the deviation of transmission signals. In order to effectively predict the deformation of the antenna reflector during the preparation process in a autoclave， a linear viscoelastic constitutive model is adopted to characterize the stress-strain relationship of the fiber reinforced composite material during the curing process. The temperature field， curing degree field and displacement field of the antenna reflector are modeled using the sequential thermal-force coupling analysis method， and the effects of the layup structure and the cooling rate on the deformation of the antenna reflector are analyzed. The analytical results show that the deformation in z-direction of PSARs with orthotropic or semi- isotropic layups is reduced by more than 51% compared with the zero-layup PSARs， and the reduced cooling rate could also help increase the shape accuracy of PSARs.