The problem on gauge transformation of the tensor potentials (A and B) associated with the dislocation field is treated. It is shown that the expressions of this transformation may take the form B′=B+▽F, A′=A-ρ?/(?t)▽G,x′=x-ρ?/(?t)F, where xi=eiklAkl. F and G are some arbitrary vector functions of position and time, but they must satisfy the relations F=▽×G,▽2F-1/Gt2-(?2/?t2)F=0. Furthermore, it is proved that the gauge conditions presented in [1] are compatible with the inhomogeneous wave equations for A and B