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Since the polarization non-reciprocity errors are canceled out through optical compensation in dual-polarization interferometric fiber-optic gyroscopes (IFOGs), two ports, namely, the reciprocal and nonreciprocal ports, are both feasible sensing output. In this work, we propose and demonstrate a weighted subtraction method for noise suppression that utilizes the partial correlated two-port signals simultaneously. The relative intensity noise has reduced to 56.2% of its original value in the experiment and agrees with the theoretical anal/ ysis; as a result, the angle random walk is suppressed from 5.7 x 10^-2 to 3.2 x 10^-2°/√h with a 2-km-long fiber. The improvement on shortand long-term stability performance has been experimentally verified, which makes dual-polarization IFOG configuration promising for many applications.