The invention provides a continuous oversampling analog-to-digital converter and a digital calibration method for dynamic errors in a feedback analog-to-digital converter. The calibration method belongs to front desk calibration and includes the steps: firstly, setting the analog input of the analog-to-digital converter to zero in a dynamic error detection mode, connecting an additional calibration DAC unit group, adding a fixed digital signal to measure the dynamic errors of the feedback digital-to-analog converter in the analog-to-digital converter at the same time, and outputting and savingthe dynamic errors in a digital form; then disconnecting an additional calibration DAC unit group in a dynamic error cancellation mode, normally connecting the analog-to-digital converter to analog input, and subtracting the saved dynamic errors under a dynamic error detection mode from the converted digital output, to obtain the calibrated digital output without dynamic errors. The dynamic errors of the oversampling analog-to-digital converter can be effectively eliminated, by adding simple hardware cost and operation, to greatly improve the performance thereof, and the digital calibration method for dynamic errors is suitable for the continuous oversampling analog-to-digital converters with various performance indexes.