Abstract The error functions of CCII-based integrators are analysed. On this basis, the fully integrated CCII-based continuous-time bandpass filters consisted of double integrator loops are studied, and the relationship between the centre frequency ωp and Qp and the magnitude E and the phase θE of the error function is also discussed. The effects of nonideal CCII are considered in detail. The conclusions obtained may provide foundation and improvement for the design of CCII-based MOSFET continuous-time higher order filters.