An accelerometer has an acceleration transducer producing uncorrected analog acceleration signals representing vertical, lateral, and longitudinal components of acceleration. An error correction system is connected to the acceleration transducer for receiving the uncorrected analog acceleration signals. The error correction system includes a system controller for generating a plurality of correction coefficients, an analog to digital converter which converts the uncorrected analog acceleration signals to uncorrected digital acceleration signals, a filter for filtering the uncorrected digital acceleration signals, an error compensation circuit receiving the correction coefficients to compensate the uncorrected digital acceleration signals, and a digital to analog converter which converts the corrected digital acceleration signals to corrected analog acceleration signals. The error compensation circuit corrects for bias offset, cross-axis alignment errors, scaling errors, and thermal offset. The system controller arranges a plurality of calibration measurements into a matrix and inverts the matrix to calculate the correction coefficients.