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The optic-bound effect on fibre optic gyro (FOG) precision is analysed theoretically,and formulas describing the change of FOG light power under the action of optic-bound effect axe given.It is confirmed that optic-bound effect is a main instantaneous non-reciprocity effect of FOG in addition to the Sagnac effect and can lead to a dynamic error of FOG in practical environments.An approach to suppressing or eliminating the error due to the optic-bound effect is presented and verified experimentally.The result shows that the approach is valid and the precision of FOG is improved observably.