In this paper, we have considered Bianchi type-III space time in the presence of cosmic strings and domain walls within the framework of f(R, T) gravity formulated by Harko et al. (Phys. Rev. D, 84: 024020, 2011). To obtain the exact solution of the corresponding cosmological model, we assume the condition that the shear scalar is directly proportional to the scalar expansion of the space-time and special law of variation for Hubble’s parameter proposed by Berman (Nuovo Ciment B, 74:182, 1983). Some physical and kinematical properties of the models are also discussed.