For the variable coefficient convection-diffusion reaction equation, three sixth-order hybrid compact difference schemes are constructed. Firstly, the high-order difference approximation operator of high-order derivatives is derived based on Taylor series expansion. Then, by using the truncation error residual correction method and the original model equation, three sixth-order hybrid compact difference schemes for solving the convection-diffusion reaction equation are obtained. Finally, typical numerical examples are selected to conduct numerical experiments to verify the accuracy of the proposed schemes.