The newly found time‐derivative‐dependent ponderomotive force and velocity modulation contributions in nonlinear whistler wave propagation are incorporated into the multidimensional stability analysis. It is shown by the Liapunov method that stable one‐dimensional whistler solitons exist. As a further result, it is demonstrated that the growth rate of the transverse bending instability, which is driven by the time‐derivative‐dependent ponderomotive force, is insignificant. This implies the observability of whistler solitons.