A rolling mill stand for rolling rod-shaped, tubular bodies, said stand comprising at least three rolls mutually arranged to define a rolling pass line (P) for said rod-shaped, tubular bodies, wherein at least one of said three rolls is integral on a roll holder shaft, which is in turn freely fixed in rotational manner to said stand by means of a first hollow support and a second hollow support arranged respectively on opposite sides of said at least one roll, wherein a first portion and a second portion of said roll holder shaft are housed in said first hollow support and in said second hollow support, respectively, said stand comprising elastic means interposed between said first portion of said roll holder shaft and said first hollow support to define an elastic type axial constraint between said roll holder shaft and said first hollow support, said stand comprising first supporting means rigidly keyed onto said first portion of said roll holder shaft and adapted to facilitate the rotation of said first roll holder shaft with respect to said first hollow support, said elastic means comprising first elastic means and second elastic means arranged along said first portion of said roll holder shaft on opposite sides of said first supporting means, respectively.