Abstract: A linear motion rolling contact bearing assembly includes a slider unit having a main body, in which a pair of endless circulating paths for rolling members is formed, and a U-shaped frame, and having a rail extending over a predetermined length and having a U-shaped cross section for slidably receiving therein the slider unit. An end mounting section for mounting to an exterior member outside of the assembly is formed at least at one end of the U-shaped rail and/or the U-shaped frame. Thus, any deformation and/or distortion, which may be produced when mounting the assembly to an apparatus, is prevented from being transmitted to the remaining part of the assembly, thereby maintaining a high dimensional precision and structural integrity.