Dynamics of domain-wall (DW) is studied using the solution of the well-known Döring and Becker equation (see, for instance, [1, 2]):  where  mef  is the effective mass of DW, β  is the phenomenological attenuation coefficient, x, , x      ,x   are the coordinate, velocity, and acceleration of a DW,  Fi(x) is the force function that characterizes the action of a magnetic matter on DW.  This force Fi(x) describes the gradient of the potential relief (GPR).     An external field with the intensity H exerts the 2MSSH pressure on the 180° DW (MS is the saturation magnetization; S is the area of a DW). The generalized coordinate x is the analog of the radial coordinate of a cylinder but its range of definition may be formally extended from   - to   that is determined by the correlation of the calculation data with experimental results. According to [3- 5] it is assumed that F(x) appears primarily due to residual stresses. Let us present Fi(x) in a general form [3- 5]:  (2)   Using Fi(x) function with two minimums it is possible to examine this bistable system for the case of the existence of a stochastic resonance with quasi-static reversal magnetization of magnetic micro-nanowires. The preliminary results of numerical calculations present a qualitative picture of the outlet increase in the signal/noise relation at certain correlations of the monochromatic force frequency and the gradient function parameters. The range of these frequencies is in the region of 10 KHz that is of some interest in order to improve the operation of miniature sensors of a magnetic field.