The method of micromagnetic modeling is used to investigate the influence of the surface anisotropy of easy plane type on the domain structures in a thin uniaxial magnetic plate for different values of the bulk anisotropy constant. The easy magnetization direction is oriented perpendicularly to the plate plane. It is established that for low and high bulk anisotropy values, the surface anisotropy has no significant effect on the magnetization field M. For some intermediate values of the bulk anisotropy constant, the surface anisotropy can influence the structure of the domain boundaries and change qualitatively the domain structure of the sample.Keywords: micromagnetic modeling, surface anisotropy, bulk anisotropy, magnetization field, domain structure, thin plate.In a number of works (for example, see [1,2]), the methods of micromagnetic modeling were used to investigate the influence of the surface anisotropy on the structure and mobility of the domain boundaries, but usually, the effect of the surface anisotropy was neglected in calculations of the domain structures. In the present work, the influence of the surface anisotropy on domain structures in a uniaxial magnetic plate is studied for different bulk anisotropy constants. The system of coordinates is oriented such that the z axis is orthogonal to the plate plane. The magnetization field is considered to be three-dimensional ( ) x, y,z = M M . It is calculated by finding stationary solutions to the Landau-Lifshits equation [3] written in the following dimensionless form: ( ) ∂ = − × − α × × ∂τ m m H m m H , (1) where / ( , , ) x y z s M m m m = = m M is the unit vector, s