A series of two types of stochastic magnetization jumps in K0.4[Cr(CN)6][Mn(R/S)‐pn](R/S)‐pnH0.6 single crystals (pn = 1,2‐diaminopropane) are reported. Large jumps appear on the demagnetization branch of the hysteresis loop at the critical value of the decreasing magnetic field. The correlation of the temperature dependence of jump magnetic field and the temperature dependence of magnetic anisotropy field indicates a contribution of magnetic anisotropy to nonlinear spin‐soliton structure. Small magnetization jumps occur in both magnetization and demagnetization regimes.