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Revisited in this paper are Green’s functions for unit concentrated forces in an infinite orthotropic Kirchhoff plate. Instead of obtaining Green’s functions expressed in explicit forms in terms of Barnett-Lothe tensors and their associated tensors in cylindrical or dual coordinates systems, presented here are Greens functions expressed in two quasi-harmonic functions in a Cartesian coordinates system. These functions could be applied to thin plate problems regardless of whether the plate is homogeneous or inhomogeneous in the thickness direction. With a composite variable defined as which is adopted under the necessity of expressing the Greens functions in terms of two quasi-harmonic functions in a Cartesian coordinates system, Stroh-like formalism for orthotropic Kirchhoff plates is evolved. Using some identities of logarithmic and arctangent functions given in this paper, the Greens functions are presented in terms of two quasi-harmonic functions. These forms of Greens functions are favorable to obtain the Newtonian potentials associated with defect problems. Thus, the defects in the orthotropic plate may be easily analyzed by way of the Greens function method.