In this study, we have investigated the effect of the number of wells and quantum ring thickness on subband energy levels, intersubband transition energies and optical properties of a constant total effective radius multi-wells quantum rings. By increasing of the number of wells from 1 to 2, we have red shift in the absorption peak positions while by more increasing of the number of wells from 2 to 10 a blue shift is visible. By increasing of the number of wells for system with R 0 = 40 nm (large inner radius), we only see a blue shift. Increasing of the R 0 values at a constant well numbers or increasing of the well numbers at constant R 0 values lead the increase of the absorption coefficient amplitude. In the later case, single quantum well system is an exception.Keywords Absorption coefficient · Subband energies · Constant total effective radius multi-wells quantum rings · Wave function engineering by tuning of the number of wells and the total ring radius