The rail track tie including: a rigid block presenting a bottom face, and a top face for receiving at least one longitudinal rail; a cover for receiving the rigid block and in the form of a rigid shell including a bottom and a peripheral rim around the bottom; and a resilient soleplate disposed between the bottom face of the rigid block and the bottom of the cover. The resilient soleplate has dynamic stiffness k2 lying in the range of 6 kN/mm to 10 kN/mm, and preferably in the range of 6 kN/mm to 8 kN/mm.