The structural magnetic relaxation (MR) has a significant influence on the magnetization properties of the soft magnetic alloys. There are several macroscopic manifestations of this microscopic process which modifies the energy of the domain walls (DW). In this work, a theoretical approach to the DW stabilization caused by the MR is presented. The MR in the Fe- 0.015 wt. % N solid solution was investigated experimentally. The temperature dependences of the real and imaginary parts of the complex susceptibility can be divided into three characteristic temperature ranges separated by the temperatures 250 K and 320 K. From the low temperature measurements of the reluctivity magnetic after-effect (MAE) the activation parameters were estimated to be: Q = 0.77 eV and tau (0) = 10(-13) s. In the high temperature section, the MR and the ageing of the solid solution occur simultaneously. The loss factor tg delta (t(a))(Ta) is proposed as a parameter for monitoring the segregation kinetics of N from the Fe-N solid solutions. The reaction coefficients beta = 0.76 and 0.78 characteristic for the ageing of the Fe-N alloy were estimated from kinetic measurements of the loss factor tg delta (t(a)) and the MAE amplitude Deltar(t(a))/r, respectively. The Perminvar effect (PE) in the binary amorphous Fe-B and Co-B ferromagnetic alloys (FMA) with the only magnetic element was observed. The MR makes the pinning field distributions narrower and shifts them to higher values.