The heating efficiency for a rotational cylinder shell under CW-laser irradiation is studied. An analytical expression for temperature profile, obtained by integral transforms method (ITM), is utilized to analyze the lag-phenomenon of the maximum temperature rise position relative to the laser peak-intensity position on the shell surface. The expressions of the heating efficiency and the lag-angle are obtained. The results show that the heating efficiency and the lagangle are dominated by three dimensionless parameters: DR (the ratio of cylinder shell radius to R laser spot radius r0), DL (the ratio of thermal diffusion length 4ατL to laser facular radius r0), and DM (the product of irradiation time τL and shell rotation frequency fR). If the same maximum temperature rise arrives to arrive at, there exists the nonlinear relation between the required laser irradiation times for a rotational cylinder shell and for a still cylinder shell, and is independent of the laser power, and the laser power determines the required absolute irradiation time.