The linear thermal expansion, AC susceptibility and magnetostriction have been measured on a single crystal of HoA12. Our results clearly show two phase transitions associated, respectively, with establishment of magnetic order and with spontaneous spin reorientation. The critical exponent ySR of the susceptibility for l-3 TSR has been determined. From magnetostriction measurements along the major symmetry directions of the crystal, we have obtained the possible deformation modes compatible with the point symmetry of the cubic crystal structure. A complete study of the magnetoelastic behaviour has allowed us to determine the reduced magnetoelastic coupling coefficients M : / C y , M i / C ' , M f / C " (I = 4,6)and D"/C".Themodelusedisbasedonasingle-ionorigin for the crystal electric field interaction of the rare-earth ion, and we have taken into account the spontaneous reorientation of the magnetic moment in the molecular field, which represents the exchange interaction.