An analytical method for determining the vortex asymmetric magnetization distribution in a two-dimensional Bloch domain wall (DW) is proporsed in this work. An asymmetric two-dimensional magnetization distribution in a DW is obtained using simple analytical dependences with a minimum number of variable parameters. The structure and energy of the Bloch DW in permalloy-type magnetic films are studied for a wide range of film thickness. The calculation results are compared with the calculation results of other authors.