The texture evolution during deep drawing of AA1050 sheets was experimentally investigated and the lattice rotation rate was predicted using rate sensitive model with full constraints boundary conditions. The measured textures are dependent on the amount of the flange deformation and the initial crystal orientations. In the specimen parallel to RD the initial crystal orientations and the D component rotated toward the Cu component and the initial crystal orientations along the $alpha$ fiber rotated toward the G {1 1 0}<0 0 1> and P {1 1 0} <1 1 1> components during deep drawing. In the specimen parallel to $45{circ}$ with respect to RD the initial crystal orientations around the D component rotated about ND and the initial crystal orientations along the ${alpha}$ fiber also rotated toward the (1 1 0) [2 3] and (1 1 0)[2 7] components about ND. In the specimen parallel to TD. the initial crystal orientations around the D component rotated toward the rotated cube and the initial crystal orientations along the ${alpha}$ fiber rotated toward the {1 1 0} <1 1 3> component.