The design of Offner compensator after paraboloid normalization and renormalization can be regarded as a deterministic problem of optimization in parameter space. The evaluation function distribution in the parameter space is obtained by constructing an example of optimizing the structure of the Offner compensator of the parabolic lens, then the reference map of the design results of the Offner compensator is obtained. A method for selecting the initial structure and evaluating the performance of the compensator is proposed, and the results show that the problem can be solved by numerical method.