Correlation between the crystal lattice and the vortex lattice in anisotropic (uniaxial) type-II superconductors due to magnetoelastic interactions is studied theoretically. Within the strain-dependent Ginzburg-Landau model, the energy of the magnetoelastic interaction of the vortex lattice is evaluated with the \ensuremath{\Delta}V effect (difference of specific volumes of normal and superconducting phase) as the main source of the elastic strain. For ${\mathrm{NbSe}}_{2}$ in tilted fields near the upper critical field ${\mathit{H}}_{\mathit{c}2}$, the vortex lattice is the same as obtained within the London model in fields well below ${\mathit{H}}_{\mathit{c}2}$ with magnetoelastic interactions taken into account.