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Non-static plane symmetric cosmological solutions are presented in the presence of cosmic strings in the scalar-tensor theory of gravitation formulated by Sen & Dunn.It is shown that string cosmological models representing geometric strings (ρ =λ) and massive strings (ρ+λ =0) do exist in this theory.Further,it is found that the Takabayasi string,i.e.ρ =(1 +ξ)λ,does not exist.Some physical and geometrical features of these models are discussed.