A cable clamp device for use in a well bore to secure cables to pipes and the like includes a flexible fastening member of relatively uniform cross-section, and a block that accepts the fastening member as it encompasses the circumference of the pipe in a loop. The cable clamp also and accepts the cable running axially along the pipe. The flexible fastening member overlaps itself, and is secured in a loop by deformation of its material. The height of the block from the surface of the pipe is greater than the height of the outer surface of the flexible fastening member and the surface of the pipe. The end surfaces of the clamp are angled with respect to the perpendicular of the pipe's surface.