The set of Hill yielding condition equations is transformed for a metal with a sharp texture caused by its hexagonal close-packed lattice. In the presence of such a texture, the number of the parameters of the anisotropy of properties and, hence, the number of experiments required to determine them are shown to decrease. The difference in the parameters of the anisotropy of properties is analyzed using a Grade 9 titanium alloy as example. It has the hcp lattice with a high fraction of oriented crystallites, i.e., a pronounced texture. © Pleiades Publishing, Ltd. 2010.