Curvature effects in magnetism offer appealing possibilities to obtain new magnetic textures at the nanoscale due to the interplay between exchange and magnetostatic interactions. Experimentally and theoretically, curvature‐driven changes of static magnetic properties in parabolic nanostripes have been addressed here. The shape of a parabolic stripe is tuned to cover broad range of widths and curvatures allowing to construct a phase diagram of magnetic equilibrium states. For this, joint experimental, i.e., soft X‐ray imaging, and theoretical studies are carried out. Analytical calculations in the framework, when non‐local magnetostatic effects are neglected, coincide with the experimental and simulation results in a broad range of parameters. The results give confidence in the applicability of the existing theoretical framework for further analytical considerations of equilibrium magnetization states of curvilinear nanomagnets.