Following the analytical procedure of the same principle as that applied by the author to the analysis of critical heat flux (CHF) for round tubes, existing experimental data of CHF in annuli with inside heating are analyzed to yield a generalized correlation of CHF proper to this type of heating. As for annuli with outside heating, it is shown that CHF can be readily predicted by utilizing the author's generalized correlation of CHF for round tubes. The prediction of CHF in both cases mentioned above can be established by employing the heated equivalent diameter alone as the representative diameter of annuli. Finally, the case of bilaterally heated annuli is also discussed, and an approximate method for the prediction of CHF in L- and H-regime is presented, while it is suggested that the interference between two walls disappears for CHF in HP-regime.