It is known that the anomalous Chern-Simons (CS) coupling of O$_p$-plane is not consistent with the T-duality transformations. Compatibility of this coupling with the T-duality requires the inclusion of couplings involving one R-R field strength. In this paper we find such couplings at order alpha^2. By requiring the R-R and NS-NS gauge invariances, we first find all independent couplings at order alpha^2$. There are 1, 6,28,20, 19, 2 couplings corresponding to the R-R field strengths F^{(p-4)}, F^{(p-2)}, ,F^{(p)}, ,F^{(p+2)}$, ,F^{(p+4)}$ and F^{(p+6)}, respectively. We then impose the T-duality constraint on these couplings and on the CS coupling C^{(p-3)}wedge Rwedge R at order alpha^2 to fix their corresponding coefficients. The T-duality constraint fixes all coefficients in terms of the CS coefficient. They are fully consistent with the partial couplings that have been already found in the literature by the S-matrix method.

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