Linear　vibration　table　can　provide　harmonic　accelerations　to　excite　the　nonlinear　error　terms　of　Pendulous　Integrating　Gyro　Accelerometer　(PIGA).　Integral　precession　calibration　method　is　proposed　to　calibrate　PIGA　on　a　linear　vibration　table　in　this　paper.　Based　on　the　precise　expressions　of　PIGA＇s　inputs,　the　error　calibration　model　of　PIGA　is　established.　Precession　angular　velocity　errors　of　PIGA　are　suppressed　by　integer　periodic　precession　and　the　errors　caused　by　non　-integer　periods　vibrating　are　compensated.　The　complete　calibration　process,　including　planning,　preparation,　PIGA　testing,　and　coefficient　identification,　is　designed　to　optimize　the　test　operations　and　evaluate　the　calibration　results.　The　effect　of　the　main　errors　on　calibration　uncertainty　is　analyzed　and　the　relative　sensitivity　function　is　proposed　to　further　optimize　the　test　positions.　Experimental　and　simulation　results　verify　that　the　proposed　10　-position　calibration　method　can　improve　calibration　uncertainties　after　compensating　for　the　related　errors.　The　order　of　calibration　uncertainties　of　the　second-　and　third　-order　coefficients　are　decreased　to　10-8　(rad　center　dot　s-1)/g2　and　10-8　(rad　center　dot　s-1)/g3,　respectively.　Compared　with　the　other　two　classical　calibration　methods,　the　calibration　uncertainties　of　PIGA＇s　nonlinear　error　coefficients　can　be　effectively　reduced　and　the　proportional　residual　errors　are　decreased　less　than　3　x　10-6　(rad　center　dot　s-1)/g　by　using　the　proposed　calibration　method.　(c)　2023　Production　and　hosting　by　Elsevier　Ltd.　on　behalf　of　Chinese　Society　of　Aeronautics　and　Astronautics.　This　is　an　open　access　article　under　the　CC　BY　-NC　-ND　license　(http://creativecommons.org/　licenses/by-nc-nd/4.0/).