DAC mismatch is the bottleneck for data converters to achieve high resolution. The error-feedback mismatch error shaping (EF-MES) is an effective method to address the DAC mismatch. However, the existing EF-MES can only achieve the 1st-order shaping for continuous-time (CT) DACs. This letter proposes the methodology and implementation details of a 2nd-order EF MES for CT DACs. This method can also be generalized to arbitrarily high-order EF MES.