Inspired by the idea of Wang and Yan’s, i.e., a two-step exact remote state preparation (RSP) of an arbitrary qubit, the remote preparation of arbitrary two-qubit state was studied. In the scheme, two non-maximally entangled GHZ states act as quantum channels. The sender Alice divides the full information encoded in known state into two parts, one purely real coefficient and the other purely real phase factor. After twice projective measurements and the transmission of 4-bit classical information by Alice, the remote receiver Bob can obtain the desired state with the success probability which is higher than that in Liu’s protocol and it is also the advantage of our scheme, because only two-qubit state in real Hilbert space or equatorial-like state can reach this success probability value in Liu’s protocol.